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Finding the Third Proportional to 10,542,142 and 23,101,472

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Solution

The third proportional to 10,542,142 and 23,101,472 is: 50,623,299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542,142 : 23,101,472 = 23,101,472 : x
  2. Step 2: Convert to fraction form
    10,542,142/23,101,472 = 23,101,472/x
  3. Step 3: Cross multiply
    10,542,142x = 23,101,472 × 23,101,472
  4. Step 4: Simplify right side
    10,542,142x = 533,678,008,566,784
  5. Step 5: Solve for x
    x = 533,678,008,566,784/10,542,142
  6. Step 6: Final answer
    x = 50,623,299.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.