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Finding the Third Proportional to 711,447,162 and 1,541,637,408

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Solution

The third proportional to 711,447,162 and 1,541,637,408 is: 3,340,579,630.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,447,162 : 1,541,637,408 = 1,541,637,408 : x
  2. Step 2: Convert to fraction form
    711,447,162/1,541,637,408 = 1,541,637,408/x
  3. Step 3: Cross multiply
    711,447,162x = 1,541,637,408 × 1,541,637,408
  4. Step 4: Simplify right side
    711,447,162x = 2,376,645,897,744,958,464
  5. Step 5: Solve for x
    x = 2,376,645,897,744,958,464/711,447,162
  6. Step 6: Final answer
    x = 3,340,579,630.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.