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Finding the Third Proportional to 2,878,182.75 and 6,297,135

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Solution

The third proportional to 2,878,182.75 and 6,297,135 is: 13,777,411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878,182.75 : 6,297,135 = 6,297,135 : x
  2. Step 2: Convert to fraction form
    2,878,182.75/6,297,135 = 6,297,135/x
  3. Step 3: Cross multiply
    2,878,182.75x = 6,297,135 × 6,297,135
  4. Step 4: Simplify right side
    2,878,182.75x = 39,653,909,208,225
  5. Step 5: Solve for x
    x = 39,653,909,208,225/2,878,182.75
  6. Step 6: Final answer
    x = 13,777,411.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.