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Finding the Third Proportional to 491,041,571.63 and 1,063,814,168.25

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Solution

The third proportional to 491,041,571.63 and 1,063,814,168.25 is: 2,304,694,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,041,571.63 : 1,063,814,168.25 = 1,063,814,168.25 : x
  2. Step 2: Convert to fraction form
    491,041,571.63/1,063,814,168.25 = 1,063,814,168.25/x
  3. Step 3: Cross multiply
    491,041,571.63x = 1,063,814,168.25 × 1,063,814,168.25
  4. Step 4: Simplify right side
    491,041,571.63x = 1,131,700,584,569,439,360
  5. Step 5: Solve for x
    x = 1,131,700,584,569,439,360/491,041,571.63
  6. Step 6: Final answer
    x = 2,304,694,042.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.