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Finding the Third Proportional to 2,272,002.75 and 4,863,165.75

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Solution

The third proportional to 2,272,002.75 and 4,863,165.75 is: 10,409,486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272,002.75 : 4,863,165.75 = 4,863,165.75 : x
  2. Step 2: Convert to fraction form
    2,272,002.75/4,863,165.75 = 4,863,165.75/x
  3. Step 3: Cross multiply
    2,272,002.75x = 4,863,165.75 × 4,863,165.75
  4. Step 4: Simplify right side
    2,272,002.75x = 23,650,381,111,973.06
  5. Step 5: Solve for x
    x = 23,650,381,111,973.06/2,272,002.75
  6. Step 6: Final answer
    x = 10,409,486.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.