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Finding the Third Proportional to 951,653,427.75 and 1,454,832,677.25

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Solution

The third proportional to 951,653,427.75 and 1,454,832,677.25 is: 2,224,063,989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,653,427.75 : 1,454,832,677.25 = 1,454,832,677.25 : x
  2. Step 2: Convert to fraction form
    951,653,427.75/1,454,832,677.25 = 1,454,832,677.25/x
  3. Step 3: Cross multiply
    951,653,427.75x = 1,454,832,677.25 × 1,454,832,677.25
  4. Step 4: Simplify right side
    951,653,427.75x = 2,116,538,118,794,402,560
  5. Step 5: Solve for x
    x = 2,116,538,118,794,402,560/951,653,427.75
  6. Step 6: Final answer
    x = 2,224,063,989.13

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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.