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Finding the Third Proportional to 10,966,545 and 23,761,737

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Solution

The third proportional to 10,966,545 and 23,761,737 is: 51,485,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966,545 : 23,761,737 = 23,761,737 : x
  2. Step 2: Convert to fraction form
    10,966,545/23,761,737 = 23,761,737/x
  3. Step 3: Cross multiply
    10,966,545x = 23,761,737 × 23,761,737
  4. Step 4: Simplify right side
    10,966,545x = 564,620,145,257,169
  5. Step 5: Solve for x
    x = 564,620,145,257,169/10,966,545
  6. Step 6: Final answer
    x = 51,485,690.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.