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Finding the Third Proportional to 595,923,264 and 1,282,922,160

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Solution

The third proportional to 595,923,264 and 1,282,922,160 is: 2,761,914,776.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,923,264 : 1,282,922,160 = 1,282,922,160 : x
  2. Step 2: Convert to fraction form
    595,923,264/1,282,922,160 = 1,282,922,160/x
  3. Step 3: Cross multiply
    595,923,264x = 1,282,922,160 × 1,282,922,160
  4. Step 4: Simplify right side
    595,923,264x = 1,645,889,268,619,065,600
  5. Step 5: Solve for x
    x = 1,645,889,268,619,065,600/595,923,264
  6. Step 6: Final answer
    x = 2,761,914,776.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.