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Finding the Third Proportional to 6,971,427 and 10,244,454.75

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Solution

The third proportional to 6,971,427 and 10,244,454.75 is: 15,054,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971,427 : 10,244,454.75 = 10,244,454.75 : x
  2. Step 2: Convert to fraction form
    6,971,427/10,244,454.75 = 10,244,454.75/x
  3. Step 3: Cross multiply
    6,971,427x = 10,244,454.75 × 10,244,454.75
  4. Step 4: Simplify right side
    6,971,427x = 104,948,853,124,797.56
  5. Step 5: Solve for x
    x = 104,948,853,124,797.56/6,971,427
  6. Step 6: Final answer
    x = 15,054,142.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.