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Finding the Third Proportional to 2,523,946 and 5,473,746

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Solution

The third proportional to 2,523,946 and 5,473,746 is: 11,871,052.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523,946 : 5,473,746 = 5,473,746 : x
  2. Step 2: Convert to fraction form
    2,523,946/5,473,746 = 5,473,746/x
  3. Step 3: Cross multiply
    2,523,946x = 5,473,746 × 5,473,746
  4. Step 4: Simplify right side
    2,523,946x = 29,961,895,272,516
  5. Step 5: Solve for x
    x = 29,961,895,272,516/2,523,946
  6. Step 6: Final answer
    x = 11,871,052.42

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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.