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Finding the Third Proportional to 5,488,607,849,074.20 and 8,303,502,791,010.60

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Solution

The third proportional to 5,488,607,849,074.20 and 8,303,502,791,010.60 is: 12,562,048,609,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488,607,849,074.20 : 8,303,502,791,010.60 = 8,303,502,791,010.60 : x
  2. Step 2: Convert to fraction form
    5,488,607,849,074.20/8,303,502,791,010.60 = 8,303,502,791,010.60/x
  3. Step 3: Cross multiply
    5,488,607,849,074.20x = 8,303,502,791,010.60 × 8,303,502,791,010.60
  4. Step 4: Simplify right side
    5,488,607,849,074.20x = 68,948,158,600,320,813,967,081,472
  5. Step 5: Solve for x
    x = 68,948,158,600,320,813,967,081,472/5,488,607,849,074.20
  6. Step 6: Final answer
    x = 12,562,048,609,822.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.