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Finding the Third Proportional to 9,712,974,836 and 20,899,101,160

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Solution

The third proportional to 9,712,974,836 and 20,899,101,160 is: 44,967,935,845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712,974,836 : 20,899,101,160 = 20,899,101,160 : x
  2. Step 2: Convert to fraction form
    9,712,974,836/20,899,101,160 = 20,899,101,160/x
  3. Step 3: Cross multiply
    9,712,974,836x = 20,899,101,160 × 20,899,101,160
  4. Step 4: Simplify right side
    9,712,974,836x = 436,772,429,295,913,336,832
  5. Step 5: Solve for x
    x = 436,772,429,295,913,336,832/9,712,974,836
  6. Step 6: Final answer
    x = 44,967,935,845.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.