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Finding the Third Proportional to 247,233,789 and 514,813,880.25

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Solution

The third proportional to 247,233,789 and 514,813,880.25 is: 1,071,994,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,233,789 : 514,813,880.25 = 514,813,880.25 : x
  2. Step 2: Convert to fraction form
    247,233,789/514,813,880.25 = 514,813,880.25/x
  3. Step 3: Cross multiply
    247,233,789x = 514,813,880.25 × 514,813,880.25
  4. Step 4: Simplify right side
    247,233,789x = 265,033,331,298,061,344
  5. Step 5: Solve for x
    x = 265,033,331,298,061,344/247,233,789
  6. Step 6: Final answer
    x = 1,071,994,780.20

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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.