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Finding the Third Proportional to 7,418,712 and 15,634,480

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Solution

The third proportional to 7,418,712 and 15,634,480 is: 32,948,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,418,712 : 15,634,480 = 15,634,480 : x
  2. Step 2: Convert to fraction form
    7,418,712/15,634,480 = 15,634,480/x
  3. Step 3: Cross multiply
    7,418,712x = 15,634,480 × 15,634,480
  4. Step 4: Simplify right side
    7,418,712x = 244,436,964,870,400
  5. Step 5: Solve for x
    x = 244,436,964,870,400/7,418,712
  6. Step 6: Final answer
    x = 32,948,706.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.