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Finding the Third Proportional to 274,864,940 and 592,769,068

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Solution

The third proportional to 274,864,940 and 592,769,068 is: 1,278,355,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,864,940 : 592,769,068 = 592,769,068 : x
  2. Step 2: Convert to fraction form
    274,864,940/592,769,068 = 592,769,068/x
  3. Step 3: Cross multiply
    274,864,940x = 592,769,068 × 592,769,068
  4. Step 4: Simplify right side
    274,864,940x = 351,375,167,977,588,608
  5. Step 5: Solve for x
    x = 351,375,167,977,588,608/274,864,940
  6. Step 6: Final answer
    x = 1,278,355,718.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.