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Finding the Third Proportional to 1,412,951,070 and 2,105,642,829

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Solution

The third proportional to 1,412,951,070 and 2,105,642,829 is: 3,137,923,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,951,070 : 2,105,642,829 = 2,105,642,829 : x
  2. Step 2: Convert to fraction form
    1,412,951,070/2,105,642,829 = 2,105,642,829/x
  3. Step 3: Cross multiply
    1,412,951,070x = 2,105,642,829 × 2,105,642,829
  4. Step 4: Simplify right side
    1,412,951,070x = 4,433,731,723,319,123,456
  5. Step 5: Solve for x
    x = 4,433,731,723,319,123,456/1,412,951,070
  6. Step 6: Final answer
    x = 3,137,923,044.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.