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Finding the Third Proportional to 3,201,507.28 and 6,988,082.63

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Solution

The third proportional to 3,201,507.28 and 6,988,082.63 is: 15,253,221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201,507.28 : 6,988,082.63 = 6,988,082.63 : x
  2. Step 2: Convert to fraction form
    3,201,507.28/6,988,082.63 = 6,988,082.63/x
  3. Step 3: Cross multiply
    3,201,507.28x = 6,988,082.63 × 6,988,082.63
  4. Step 4: Simplify right side
    3,201,507.28x = 48,833,298,773,826.89
  5. Step 5: Solve for x
    x = 48,833,298,773,826.89/3,201,507.28
  6. Step 6: Final answer
    x = 15,253,221.21

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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.