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Finding the Third Proportional to 377,894,088 and 813,745,296

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Solution

The third proportional to 377,894,088 and 813,745,296 is: 1,752,293,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,894,088 : 813,745,296 = 813,745,296 : x
  2. Step 2: Convert to fraction form
    377,894,088/813,745,296 = 813,745,296/x
  3. Step 3: Cross multiply
    377,894,088x = 813,745,296 × 813,745,296
  4. Step 4: Simplify right side
    377,894,088x = 662,181,406,762,127,616
  5. Step 5: Solve for x
    x = 662,181,406,762,127,616/377,894,088
  6. Step 6: Final answer
    x = 1,752,293,639.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.