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Finding the Third Proportional to 287,146,029.75 and 626,262,469.50

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Solution

The third proportional to 287,146,029.75 and 626,262,469.50 is: 1,365,871,856.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,146,029.75 : 626,262,469.50 = 626,262,469.50 : x
  2. Step 2: Convert to fraction form
    287,146,029.75/626,262,469.50 = 626,262,469.50/x
  3. Step 3: Cross multiply
    287,146,029.75x = 626,262,469.50 × 626,262,469.50
  4. Step 4: Simplify right side
    287,146,029.75x = 392,204,680,704,238,400
  5. Step 5: Solve for x
    x = 392,204,680,704,238,400/287,146,029.75
  6. Step 6: Final answer
    x = 1,365,871,856.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.