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Finding the Third Proportional to 2,182,917.94 and 4,748,068.13

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Solution

The third proportional to 2,182,917.94 and 4,748,068.13 is: 10,327,530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,917.94 : 4,748,068.13 = 4,748,068.13 : x
  2. Step 2: Convert to fraction form
    2,182,917.94/4,748,068.13 = 4,748,068.13/x
  3. Step 3: Cross multiply
    2,182,917.94x = 4,748,068.13 × 4,748,068.13
  4. Step 4: Simplify right side
    2,182,917.94x = 22,544,150,919,641.02
  5. Step 5: Solve for x
    x = 22,544,150,919,641.02/2,182,917.94
  6. Step 6: Final answer
    x = 10,327,530.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.