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Finding the Third Proportional to 10,542,136 and 23,101,460

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Solution

The third proportional to 10,542,136 and 23,101,460 is: 50,623,275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542,136 : 23,101,460 = 23,101,460 : x
  2. Step 2: Convert to fraction form
    10,542,136/23,101,460 = 23,101,460/x
  3. Step 3: Cross multiply
    10,542,136x = 23,101,460 × 23,101,460
  4. Step 4: Simplify right side
    10,542,136x = 533,677,454,131,600
  5. Step 5: Solve for x
    x = 533,677,454,131,600/10,542,136
  6. Step 6: Final answer
    x = 50,623,275.41

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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.