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Finding the Third Proportional to 40,521,834 and 57,942,347

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Solution

The third proportional to 40,521,834 and 57,942,347 is: 82,852,014.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,521,834 : 57,942,347 = 57,942,347 : x
  2. Step 2: Convert to fraction form
    40,521,834/57,942,347 = 57,942,347/x
  3. Step 3: Cross multiply
    40,521,834x = 57,942,347 × 57,942,347
  4. Step 4: Simplify right side
    40,521,834x = 3,357,315,575,868,409
  5. Step 5: Solve for x
    x = 3,357,315,575,868,409/40,521,834
  6. Step 6: Final answer
    x = 82,852,014.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.