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Finding the Third Proportional to 9,715,781,609 and 14,927,224,629

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Solution

The third proportional to 9,715,781,609 and 14,927,224,629 is: 22,934,030,847.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715,781,609 : 14,927,224,629 = 14,927,224,629 : x
  2. Step 2: Convert to fraction form
    9,715,781,609/14,927,224,629 = 14,927,224,629/x
  3. Step 3: Cross multiply
    9,715,781,609x = 14,927,224,629 × 14,927,224,629
  4. Step 4: Simplify right side
    9,715,781,609x = 222,822,035,124,624,195,584
  5. Step 5: Solve for x
    x = 222,822,035,124,624,195,584/9,715,781,609
  6. Step 6: Final answer
    x = 22,934,030,847.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.