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Finding the Third Proportional to 242,332,082 and 521,615,716

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Solution

The third proportional to 242,332,082 and 521,615,716 is: 1,122,769,023.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,332,082 : 521,615,716 = 521,615,716 : x
  2. Step 2: Convert to fraction form
    242,332,082/521,615,716 = 521,615,716/x
  3. Step 3: Cross multiply
    242,332,082x = 521,615,716 × 521,615,716
  4. Step 4: Simplify right side
    242,332,082x = 272,082,955,178,192,640
  5. Step 5: Solve for x
    x = 272,082,955,178,192,640/242,332,082
  6. Step 6: Final answer
    x = 1,122,769,023.95

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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.