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Finding the Third Proportional to 5,306,154,912 and 11,357,698,470

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Solution

The third proportional to 5,306,154,912 and 11,357,698,470 is: 24,310,883,620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306,154,912 : 11,357,698,470 = 11,357,698,470 : x
  2. Step 2: Convert to fraction form
    5,306,154,912/11,357,698,470 = 11,357,698,470/x
  3. Step 3: Cross multiply
    5,306,154,912x = 11,357,698,470 × 11,357,698,470
  4. Step 4: Simplify right side
    5,306,154,912x = 128,997,314,535,440,334,848
  5. Step 5: Solve for x
    x = 128,997,314,535,440,334,848/5,306,154,912
  6. Step 6: Final answer
    x = 24,310,883,620.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.