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Finding the Third Proportional to 1,115,678,519 and 2,432,241,952

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Solution

The third proportional to 1,115,678,519 and 2,432,241,952 is: 5,302,424,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115,678,519 : 2,432,241,952 = 2,432,241,952 : x
  2. Step 2: Convert to fraction form
    1,115,678,519/2,432,241,952 = 2,432,241,952/x
  3. Step 3: Cross multiply
    1,115,678,519x = 2,432,241,952 × 2,432,241,952
  4. Step 4: Simplify right side
    1,115,678,519x = 5,915,800,913,068,770,304
  5. Step 5: Solve for x
    x = 5,915,800,913,068,770,304/1,115,678,519
  6. Step 6: Final answer
    x = 5,302,424,320.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.