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Finding the Third Proportional to 4,109,329.13 and 6,387,751.69

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Solution

The third proportional to 4,109,329.13 and 6,387,751.69 is: 9,929,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109,329.13 : 6,387,751.69 = 6,387,751.69 : x
  2. Step 2: Convert to fraction form
    4,109,329.13/6,387,751.69 = 6,387,751.69/x
  3. Step 3: Cross multiply
    4,109,329.13x = 6,387,751.69 × 6,387,751.69
  4. Step 4: Simplify right side
    4,109,329.13x = 40,803,371,621,159.09
  5. Step 5: Solve for x
    x = 40,803,371,621,159.09/4,109,329.13
  6. Step 6: Final answer
    x = 9,929,448.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.