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Finding the Third Proportional to 280,793,366.25 and 626,112,588

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Solution

The third proportional to 280,793,366.25 and 626,112,588 is: 1,396,104,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,793,366.25 : 626,112,588 = 626,112,588 : x
  2. Step 2: Convert to fraction form
    280,793,366.25/626,112,588 = 626,112,588/x
  3. Step 3: Cross multiply
    280,793,366.25x = 626,112,588 × 626,112,588
  4. Step 4: Simplify right side
    280,793,366.25x = 392,016,972,852,057,728
  5. Step 5: Solve for x
    x = 392,016,972,852,057,728/280,793,366.25
  6. Step 6: Final answer
    x = 1,396,104,822.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.