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Finding the Third Proportional to 950,906,164.50 and 1,313,941,432.50

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Solution

The third proportional to 950,906,164.50 and 1,313,941,432.50 is: 1,815,575,660.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,906,164.50 : 1,313,941,432.50 = 1,313,941,432.50 : x
  2. Step 2: Convert to fraction form
    950,906,164.50/1,313,941,432.50 = 1,313,941,432.50/x
  3. Step 3: Cross multiply
    950,906,164.50x = 1,313,941,432.50 × 1,313,941,432.50
  4. Step 4: Simplify right side
    950,906,164.50x = 1,726,442,088,040,152,064
  5. Step 5: Solve for x
    x = 1,726,442,088,040,152,064/950,906,164.50
  6. Step 6: Final answer
    x = 1,815,575,660.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.