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Finding the Third Proportional to 364,186,870 and 801,015,084

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Solution

The third proportional to 364,186,870 and 801,015,084 is: 1,761,802,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,186,870 : 801,015,084 = 801,015,084 : x
  2. Step 2: Convert to fraction form
    364,186,870/801,015,084 = 801,015,084/x
  3. Step 3: Cross multiply
    364,186,870x = 801,015,084 × 801,015,084
  4. Step 4: Simplify right side
    364,186,870x = 641,625,164,795,527,040
  5. Step 5: Solve for x
    x = 641,625,164,795,527,040/364,186,870
  6. Step 6: Final answer
    x = 1,761,802,024.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.