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Finding the Third Proportional to 4,001,398.50 and 8,420,946

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Solution

The third proportional to 4,001,398.50 and 8,420,946 is: 17,721,886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001,398.50 : 8,420,946 = 8,420,946 : x
  2. Step 2: Convert to fraction form
    4,001,398.50/8,420,946 = 8,420,946/x
  3. Step 3: Cross multiply
    4,001,398.50x = 8,420,946 × 8,420,946
  4. Step 4: Simplify right side
    4,001,398.50x = 70,912,331,534,916
  5. Step 5: Solve for x
    x = 70,912,331,534,916/4,001,398.50
  6. Step 6: Final answer
    x = 17,721,886.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.