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Finding the Third Proportional to 6,310,674 and 13,815,432

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Solution

The third proportional to 6,310,674 and 13,815,432 is: 30,244,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310,674 : 13,815,432 = 13,815,432 : x
  2. Step 2: Convert to fraction form
    6,310,674/13,815,432 = 13,815,432/x
  3. Step 3: Cross multiply
    6,310,674x = 13,815,432 × 13,815,432
  4. Step 4: Simplify right side
    6,310,674x = 190,866,161,346,624
  5. Step 5: Solve for x
    x = 190,866,161,346,624/6,310,674
  6. Step 6: Final answer
    x = 30,244,972.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.