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Finding the Third Proportional to 2,691,613.13 and 5,906,368.13

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Solution

The third proportional to 2,691,613.13 and 5,906,368.13 is: 12,960,697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691,613.13 : 5,906,368.13 = 5,906,368.13 : x
  2. Step 2: Convert to fraction form
    2,691,613.13/5,906,368.13 = 5,906,368.13/x
  3. Step 3: Cross multiply
    2,691,613.13x = 5,906,368.13 × 5,906,368.13
  4. Step 4: Simplify right side
    2,691,613.13x = 34,885,184,428,016.02
  5. Step 5: Solve for x
    x = 34,885,184,428,016.02/2,691,613.13
  6. Step 6: Final answer
    x = 12,960,697.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.