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Finding the Third Proportional to 5,488,607,849,074.40 and 8,303,502,791,010.40

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Solution

The third proportional to 5,488,607,849,074.40 and 8,303,502,791,010.40 is: 12,562,048,609,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488,607,849,074.40 : 8,303,502,791,010.40 = 8,303,502,791,010.40 : x
  2. Step 2: Convert to fraction form
    5,488,607,849,074.40/8,303,502,791,010.40 = 8,303,502,791,010.40/x
  3. Step 3: Cross multiply
    5,488,607,849,074.40x = 8,303,502,791,010.40 × 8,303,502,791,010.40
  4. Step 4: Simplify right side
    5,488,607,849,074.40x = 68,948,158,600,317,506,842,263,552
  5. Step 5: Solve for x
    x = 68,948,158,600,317,506,842,263,552/5,488,607,849,074.40
  6. Step 6: Final answer
    x = 12,562,048,609,820.96

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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.