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Finding the Third Proportional to 3,428,527.50 and 7,301,016

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Solution

The third proportional to 3,428,527.50 and 7,301,016 is: 15,547,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428,527.50 : 7,301,016 = 7,301,016 : x
  2. Step 2: Convert to fraction form
    3,428,527.50/7,301,016 = 7,301,016/x
  3. Step 3: Cross multiply
    3,428,527.50x = 7,301,016 × 7,301,016
  4. Step 4: Simplify right side
    3,428,527.50x = 53,304,834,632,256
  5. Step 5: Solve for x
    x = 53,304,834,632,256/3,428,527.50
  6. Step 6: Final answer
    x = 15,547,442.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.