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Finding the Third Proportional to 6,517,624 and 9,860,324

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Solution

The third proportional to 6,517,624 and 9,860,324 is: 14,917,397.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517,624 : 9,860,324 = 9,860,324 : x
  2. Step 2: Convert to fraction form
    6,517,624/9,860,324 = 9,860,324/x
  3. Step 3: Cross multiply
    6,517,624x = 9,860,324 × 9,860,324
  4. Step 4: Simplify right side
    6,517,624x = 97,225,989,384,976
  5. Step 5: Solve for x
    x = 97,225,989,384,976/6,517,624
  6. Step 6: Final answer
    x = 14,917,397.72

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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.