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Finding the Third Proportional to 349,376,366 and 747,831,055

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Solution

The third proportional to 349,376,366 and 747,831,055 is: 1,600,712,988.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,376,366 : 747,831,055 = 747,831,055 : x
  2. Step 2: Convert to fraction form
    349,376,366/747,831,055 = 747,831,055/x
  3. Step 3: Cross multiply
    349,376,366x = 747,831,055 × 747,831,055
  4. Step 4: Simplify right side
    349,376,366x = 559,251,286,822,413,056
  5. Step 5: Solve for x
    x = 559,251,286,822,413,056/349,376,366
  6. Step 6: Final answer
    x = 1,600,712,988.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.