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Finding the Third Proportional to 632,599,368.75 and 1,374,007,576.50

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Solution

The third proportional to 632,599,368.75 and 1,374,007,576.50 is: 2,984,348,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,599,368.75 : 1,374,007,576.50 = 1,374,007,576.50 : x
  2. Step 2: Convert to fraction form
    632,599,368.75/1,374,007,576.50 = 1,374,007,576.50/x
  3. Step 3: Cross multiply
    632,599,368.75x = 1,374,007,576.50 × 1,374,007,576.50
  4. Step 4: Simplify right side
    632,599,368.75x = 1,887,896,820,279,403,264
  5. Step 5: Solve for x
    x = 1,887,896,820,279,403,264/632,599,368.75
  6. Step 6: Final answer
    x = 2,984,348,251.90

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Why These Related Problems?

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