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Finding the Third Proportional to 6,897,732 and 10,442,025

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Solution

The third proportional to 6,897,732 and 10,442,025 is: 15,807,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897,732 : 10,442,025 = 10,442,025 : x
  2. Step 2: Convert to fraction form
    6,897,732/10,442,025 = 10,442,025/x
  3. Step 3: Cross multiply
    6,897,732x = 10,442,025 × 10,442,025
  4. Step 4: Simplify right side
    6,897,732x = 109,035,886,100,625
  5. Step 5: Solve for x
    x = 109,035,886,100,625/6,897,732
  6. Step 6: Final answer
    x = 15,807,498.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.