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Finding the Third Proportional to 4,250,264.25 and 6,387,852.38

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Solution

The third proportional to 4,250,264.25 and 6,387,852.38 is: 9,600,499.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,250,264.25 : 6,387,852.38 = 6,387,852.38 : x
  2. Step 2: Convert to fraction form
    4,250,264.25/6,387,852.38 = 6,387,852.38/x
  3. Step 3: Cross multiply
    4,250,264.25x = 6,387,852.38 × 6,387,852.38
  4. Step 4: Simplify right side
    4,250,264.25x = 40,804,657,964,793.14
  5. Step 5: Solve for x
    x = 40,804,657,964,793.14/4,250,264.25
  6. Step 6: Final answer
    x = 9,600,499.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.