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Finding the Third Proportional to 40,843,350,570 and 87,424,221,108

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Solution

The third proportional to 40,843,350,570 and 87,424,221,108 is: 187,129,467,334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,843,350,570 : 87,424,221,108 = 87,424,221,108 : x
  2. Step 2: Convert to fraction form
    40,843,350,570/87,424,221,108 = 87,424,221,108/x
  3. Step 3: Cross multiply
    40,843,350,570x = 87,424,221,108 × 87,424,221,108
  4. Step 4: Simplify right side
    40,843,350,570x = 7,642,994,436,340,472,348,672
  5. Step 5: Solve for x
    x = 7,642,994,436,340,472,348,672/40,843,350,570
  6. Step 6: Final answer
    x = 187,129,467,334.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.