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Finding the Third Proportional to 10,313,868,680 and 22,098,051,628

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Solution

The third proportional to 10,313,868,680 and 22,098,051,628 is: 47,346,335,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313,868,680 : 22,098,051,628 = 22,098,051,628 : x
  2. Step 2: Convert to fraction form
    10,313,868,680/22,098,051,628 = 22,098,051,628/x
  3. Step 3: Cross multiply
    10,313,868,680x = 22,098,051,628 × 22,098,051,628
  4. Step 4: Simplify right side
    10,313,868,680x = 488,323,885,753,753,468,928
  5. Step 5: Solve for x
    x = 488,323,885,753,753,468,928/10,313,868,680
  6. Step 6: Final answer
    x = 47,346,335,396.02

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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.