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Finding the Third Proportional to 9,712,974,742 and 20,899,100,972

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Solution

The third proportional to 9,712,974,742 and 20,899,100,972 is: 44,967,935,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712,974,742 : 20,899,100,972 = 20,899,100,972 : x
  2. Step 2: Convert to fraction form
    9,712,974,742/20,899,100,972 = 20,899,100,972/x
  3. Step 3: Cross multiply
    9,712,974,742x = 20,899,100,972 × 20,899,100,972
  4. Step 4: Simplify right side
    9,712,974,742x = 436,772,421,437,851,369,472
  5. Step 5: Solve for x
    x = 436,772,421,437,851,369,472/9,712,974,742
  6. Step 6: Final answer
    x = 44,967,935,471.84

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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.