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Finding the Third Proportional to 1,115,678,502 and 2,432,241,918

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Solution

The third proportional to 1,115,678,502 and 2,432,241,918 is: 5,302,424,253.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115,678,502 : 2,432,241,918 = 2,432,241,918 : x
  2. Step 2: Convert to fraction form
    1,115,678,502/2,432,241,918 = 2,432,241,918/x
  3. Step 3: Cross multiply
    1,115,678,502x = 2,432,241,918 × 2,432,241,918
  4. Step 4: Simplify right side
    1,115,678,502x = 5,915,800,747,676,318,720
  5. Step 5: Solve for x
    x = 5,915,800,747,676,318,720/1,115,678,502
  6. Step 6: Final answer
    x = 5,302,424,253.11

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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.