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Finding the Third Proportional to 2,877,734.25 and 6,216,561

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Solution

The third proportional to 2,877,734.25 and 6,216,561 is: 13,429,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877,734.25 : 6,216,561 = 6,216,561 : x
  2. Step 2: Convert to fraction form
    2,877,734.25/6,216,561 = 6,216,561/x
  3. Step 3: Cross multiply
    2,877,734.25x = 6,216,561 × 6,216,561
  4. Step 4: Simplify right side
    2,877,734.25x = 38,645,630,666,721
  5. Step 5: Solve for x
    x = 38,645,630,666,721/2,877,734.25
  6. Step 6: Final answer
    x = 13,429,186.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.