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Finding the Third Proportional to 9,725,648 and 22,513,136

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Solution

The third proportional to 9,725,648 and 22,513,136 is: 52,113,884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725,648 : 22,513,136 = 22,513,136 : x
  2. Step 2: Convert to fraction form
    9,725,648/22,513,136 = 22,513,136/x
  3. Step 3: Cross multiply
    9,725,648x = 22,513,136 × 22,513,136
  4. Step 4: Simplify right side
    9,725,648x = 506,841,292,554,496
  5. Step 5: Solve for x
    x = 506,841,292,554,496/9,725,648
  6. Step 6: Final answer
    x = 52,113,884.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.