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Finding the Third Proportional to 7,340,416 and 15,743,532

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Solution

The third proportional to 7,340,416 and 15,743,532 is: 33,766,315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340,416 : 15,743,532 = 15,743,532 : x
  2. Step 2: Convert to fraction form
    7,340,416/15,743,532 = 15,743,532/x
  3. Step 3: Cross multiply
    7,340,416x = 15,743,532 × 15,743,532
  4. Step 4: Simplify right side
    7,340,416x = 247,858,799,835,024
  5. Step 5: Solve for x
    x = 247,858,799,835,024/7,340,416
  6. Step 6: Final answer
    x = 33,766,315.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.