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Finding the Third Proportional to 8,258,754 and 17,782,948

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Solution

The third proportional to 8,258,754 and 17,782,948 is: 38,290,671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258,754 : 17,782,948 = 17,782,948 : x
  2. Step 2: Convert to fraction form
    8,258,754/17,782,948 = 17,782,948/x
  3. Step 3: Cross multiply
    8,258,754x = 17,782,948 × 17,782,948
  4. Step 4: Simplify right side
    8,258,754x = 316,233,239,570,704
  5. Step 5: Solve for x
    x = 316,233,239,570,704/8,258,754
  6. Step 6: Final answer
    x = 38,290,671.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.