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Finding the Third Proportional to 3,849,402 and 8,267,424

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Solution

The third proportional to 3,849,402 and 8,267,424 is: 17,756,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849,402 : 8,267,424 = 8,267,424 : x
  2. Step 2: Convert to fraction form
    3,849,402/8,267,424 = 8,267,424/x
  3. Step 3: Cross multiply
    3,849,402x = 8,267,424 × 8,267,424
  4. Step 4: Simplify right side
    3,849,402x = 68,350,299,595,776
  5. Step 5: Solve for x
    x = 68,350,299,595,776/3,849,402
  6. Step 6: Final answer
    x = 17,756,082.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.