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Finding the Third Proportional to 6,972,340 and 15,102,448

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Solution

The third proportional to 6,972,340 and 15,102,448 is: 32,712,681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972,340 : 15,102,448 = 15,102,448 : x
  2. Step 2: Convert to fraction form
    6,972,340/15,102,448 = 15,102,448/x
  3. Step 3: Cross multiply
    6,972,340x = 15,102,448 × 15,102,448
  4. Step 4: Simplify right side
    6,972,340x = 228,083,935,592,704
  5. Step 5: Solve for x
    x = 228,083,935,592,704/6,972,340
  6. Step 6: Final answer
    x = 32,712,681.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.