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Finding the Third Proportional to 247,233,780.75 and 514,813,869.75

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Solution

The third proportional to 247,233,780.75 and 514,813,869.75 is: 1,071,994,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,233,780.75 : 514,813,869.75 = 514,813,869.75 : x
  2. Step 2: Convert to fraction form
    247,233,780.75/514,813,869.75 = 514,813,869.75/x
  3. Step 3: Cross multiply
    247,233,780.75x = 514,813,869.75 × 514,813,869.75
  4. Step 4: Simplify right side
    247,233,780.75x = 265,033,320,486,969,952
  5. Step 5: Solve for x
    x = 265,033,320,486,969,952/247,233,780.75
  6. Step 6: Final answer
    x = 1,071,994,772.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.