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Finding the Third Proportional to 2,523,942 and 5,473,737

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Solution

The third proportional to 2,523,942 and 5,473,737 is: 11,871,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523,942 : 5,473,737 = 5,473,737 : x
  2. Step 2: Convert to fraction form
    2,523,942/5,473,737 = 5,473,737/x
  3. Step 3: Cross multiply
    2,523,942x = 5,473,737 × 5,473,737
  4. Step 4: Simplify right side
    2,523,942x = 29,961,796,745,169
  5. Step 5: Solve for x
    x = 29,961,796,745,169/2,523,942
  6. Step 6: Final answer
    x = 11,871,032.20

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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.