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Finding the Third Proportional to 465,631,375 and 1,013,931,349

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Solution

The third proportional to 465,631,375 and 1,013,931,349 is: 2,207,876,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,631,375 : 1,013,931,349 = 1,013,931,349 : x
  2. Step 2: Convert to fraction form
    465,631,375/1,013,931,349 = 1,013,931,349/x
  3. Step 3: Cross multiply
    465,631,375x = 1,013,931,349 × 1,013,931,349
  4. Step 4: Simplify right side
    465,631,375x = 1,028,056,780,484,959,744
  5. Step 5: Solve for x
    x = 1,028,056,780,484,959,744/465,631,375
  6. Step 6: Final answer
    x = 2,207,876,950.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.