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Finding the Third Proportional to 377,895,036 and 586,515,708

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Solution

The third proportional to 377,895,036 and 586,515,708 is: 910,307,474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,895,036 : 586,515,708 = 586,515,708 : x
  2. Step 2: Convert to fraction form
    377,895,036/586,515,708 = 586,515,708/x
  3. Step 3: Cross multiply
    377,895,036x = 586,515,708 × 586,515,708
  4. Step 4: Simplify right side
    377,895,036x = 344,000,675,730,741,248
  5. Step 5: Solve for x
    x = 344,000,675,730,741,248/377,895,036
  6. Step 6: Final answer
    x = 910,307,474.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.