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Finding the Third Proportional to 10,258,920 and 15,948,396

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Solution

The third proportional to 10,258,920 and 15,948,396 is: 24,793,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258,920 : 15,948,396 = 15,948,396 : x
  2. Step 2: Convert to fraction form
    10,258,920/15,948,396 = 15,948,396/x
  3. Step 3: Cross multiply
    10,258,920x = 15,948,396 × 15,948,396
  4. Step 4: Simplify right side
    10,258,920x = 254,351,334,972,816
  5. Step 5: Solve for x
    x = 254,351,334,972,816/10,258,920
  6. Step 6: Final answer
    x = 24,793,188.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.