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Finding the Third Proportional to 444,564,708,282 and 599,822,167,761

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Solution

The third proportional to 444,564,708,282 and 599,822,167,761 is: 809,300,932,428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,564,708,282 : 599,822,167,761 = 599,822,167,761 : x
  2. Step 2: Convert to fraction form
    444,564,708,282/599,822,167,761 = 599,822,167,761/x
  3. Step 3: Cross multiply
    444,564,708,282x = 599,822,167,761 × 599,822,167,761
  4. Step 4: Simplify right side
    444,564,708,282x = 359,786,632,937,505,235,664,896
  5. Step 5: Solve for x
    x = 359,786,632,937,505,235,664,896/444,564,708,282
  6. Step 6: Final answer
    x = 809,300,932,428.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.