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Finding the Third Proportional to 4,282,440,435 and 6,546,747,060

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Solution

The third proportional to 4,282,440,435 and 6,546,747,060 is: 10,008,287,965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282,440,435 : 6,546,747,060 = 6,546,747,060 : x
  2. Step 2: Convert to fraction form
    4,282,440,435/6,546,747,060 = 6,546,747,060/x
  3. Step 3: Cross multiply
    4,282,440,435x = 6,546,747,060 × 6,546,747,060
  4. Step 4: Simplify right side
    4,282,440,435x = 42,859,897,067,618,639,872
  5. Step 5: Solve for x
    x = 42,859,897,067,618,639,872/4,282,440,435
  6. Step 6: Final answer
    x = 10,008,287,965.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.