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Finding the Third Proportional to 4,198,475 and 9,156,658

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Solution

The third proportional to 4,198,475 and 9,156,658 is: 19,970,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198,475 : 9,156,658 = 9,156,658 : x
  2. Step 2: Convert to fraction form
    4,198,475/9,156,658 = 9,156,658/x
  3. Step 3: Cross multiply
    4,198,475x = 9,156,658 × 9,156,658
  4. Step 4: Simplify right side
    4,198,475x = 83,844,385,728,964
  5. Step 5: Solve for x
    x = 83,844,385,728,964/4,198,475
  6. Step 6: Final answer
    x = 19,970,200.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.