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Finding the Third Proportional to 807,350,074 and 1,767,545,108

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Solution

The third proportional to 807,350,074 and 1,767,545,108 is: 3,869,716,259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,350,074 : 1,767,545,108 = 1,767,545,108 : x
  2. Step 2: Convert to fraction form
    807,350,074/1,767,545,108 = 1,767,545,108/x
  3. Step 3: Cross multiply
    807,350,074x = 1,767,545,108 × 1,767,545,108
  4. Step 4: Simplify right side
    807,350,074x = 3,124,215,708,814,731,776
  5. Step 5: Solve for x
    x = 3,124,215,708,814,731,776/807,350,074
  6. Step 6: Final answer
    x = 3,869,716,259.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.