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Finding the Third Proportional to 2,625,894.75 and 5,699,943.75

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Solution

The third proportional to 2,625,894.75 and 5,699,943.75 is: 12,372,681.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625,894.75 : 5,699,943.75 = 5,699,943.75 : x
  2. Step 2: Convert to fraction form
    2,625,894.75/5,699,943.75 = 5,699,943.75/x
  3. Step 3: Cross multiply
    2,625,894.75x = 5,699,943.75 × 5,699,943.75
  4. Step 4: Simplify right side
    2,625,894.75x = 32,489,358,753,164.06
  5. Step 5: Solve for x
    x = 32,489,358,753,164.06/2,625,894.75
  6. Step 6: Final answer
    x = 12,372,681.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.