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Finding the Third Proportional to 6,454,597 and 13,905,053

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Solution

The third proportional to 6,454,597 and 13,905,053 is: 29,955,471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454,597 : 13,905,053 = 13,905,053 : x
  2. Step 2: Convert to fraction form
    6,454,597/13,905,053 = 13,905,053/x
  3. Step 3: Cross multiply
    6,454,597x = 13,905,053 × 13,905,053
  4. Step 4: Simplify right side
    6,454,597x = 193,350,498,932,809
  5. Step 5: Solve for x
    x = 193,350,498,932,809/6,454,597
  6. Step 6: Final answer
    x = 29,955,471.88

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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.