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Finding the Third Proportional to 951,653,428.13 and 1,454,832,677.81

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Solution

The third proportional to 951,653,428.13 and 1,454,832,677.81 is: 2,224,063,989.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,653,428.13 : 1,454,832,677.81 = 1,454,832,677.81 : x
  2. Step 2: Convert to fraction form
    951,653,428.13/1,454,832,677.81 = 1,454,832,677.81/x
  3. Step 3: Cross multiply
    951,653,428.13x = 1,454,832,677.81 × 1,454,832,677.81
  4. Step 4: Simplify right side
    951,653,428.13x = 2,116,538,120,431,089,408
  5. Step 5: Solve for x
    x = 2,116,538,120,431,089,408/951,653,428.13
  6. Step 6: Final answer
    x = 2,224,063,989.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.