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Finding the Third Proportional to 865,520,061.75 and 2,041,136,812.13

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Solution

The third proportional to 865,520,061.75 and 2,041,136,812.13 is: 4,813,567,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,520,061.75 : 2,041,136,812.13 = 2,041,136,812.13 : x
  2. Step 2: Convert to fraction form
    865,520,061.75/2,041,136,812.13 = 2,041,136,812.13/x
  3. Step 3: Cross multiply
    865,520,061.75x = 2,041,136,812.13 × 2,041,136,812.13
  4. Step 4: Simplify right side
    865,520,061.75x = 4,166,239,485,811,807,744
  5. Step 5: Solve for x
    x = 4,166,239,485,811,807,744/865,520,061.75
  6. Step 6: Final answer
    x = 4,813,567,784.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.