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Finding the Third Proportional to 10,136,964 and 22,058,592

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Solution

The third proportional to 10,136,964 and 22,058,592 is: 48,000,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136,964 : 22,058,592 = 22,058,592 : x
  2. Step 2: Convert to fraction form
    10,136,964/22,058,592 = 22,058,592/x
  3. Step 3: Cross multiply
    10,136,964x = 22,058,592 × 22,058,592
  4. Step 4: Simplify right side
    10,136,964x = 486,581,481,022,464
  5. Step 5: Solve for x
    x = 486,581,481,022,464/10,136,964
  6. Step 6: Final answer
    x = 48,000,711.16

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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.