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Finding the Third Proportional to 1,115,678,524 and 2,432,241,962

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Solution

The third proportional to 1,115,678,524 and 2,432,241,962 is: 5,302,424,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115,678,524 : 2,432,241,962 = 2,432,241,962 : x
  2. Step 2: Convert to fraction form
    1,115,678,524/2,432,241,962 = 2,432,241,962/x
  3. Step 3: Cross multiply
    1,115,678,524x = 2,432,241,962 × 2,432,241,962
  4. Step 4: Simplify right side
    1,115,678,524x = 5,915,800,961,713,609,728
  5. Step 5: Solve for x
    x = 5,915,800,961,713,609,728/1,115,678,524
  6. Step 6: Final answer
    x = 5,302,424,340.40

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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.