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Finding the Third Proportional to 6,948,564 and 10,024,230

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Solution

The third proportional to 6,948,564 and 10,024,230 is: 14,461,288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948,564 : 10,024,230 = 10,024,230 : x
  2. Step 2: Convert to fraction form
    6,948,564/10,024,230 = 10,024,230/x
  3. Step 3: Cross multiply
    6,948,564x = 10,024,230 × 10,024,230
  4. Step 4: Simplify right side
    6,948,564x = 100,485,187,092,900
  5. Step 5: Solve for x
    x = 100,485,187,092,900/6,948,564
  6. Step 6: Final answer
    x = 14,461,288.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.