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Finding the Third Proportional to 4,759,851.75 and 10,277,160.75

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Solution

The third proportional to 4,759,851.75 and 10,277,160.75 is: 22,189,773.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759,851.75 : 10,277,160.75 = 10,277,160.75 : x
  2. Step 2: Convert to fraction form
    4,759,851.75/10,277,160.75 = 10,277,160.75/x
  3. Step 3: Cross multiply
    4,759,851.75x = 10,277,160.75 × 10,277,160.75
  4. Step 4: Simplify right side
    4,759,851.75x = 105,620,033,081,340.56
  5. Step 5: Solve for x
    x = 105,620,033,081,340.56/4,759,851.75
  6. Step 6: Final answer
    x = 22,189,773.68

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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.