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Finding the Third Proportional to 10,830,439 and 23,786,331

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Solution

The third proportional to 10,830,439 and 23,786,331 is: 52,240,684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830,439 : 23,786,331 = 23,786,331 : x
  2. Step 2: Convert to fraction form
    10,830,439/23,786,331 = 23,786,331/x
  3. Step 3: Cross multiply
    10,830,439x = 23,786,331 × 23,786,331
  4. Step 4: Simplify right side
    10,830,439x = 565,789,542,441,561
  5. Step 5: Solve for x
    x = 565,789,542,441,561/10,830,439
  6. Step 6: Final answer
    x = 52,240,684.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.