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Finding the Third Proportional to 7,293,743 and 15,871,822

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Solution

The third proportional to 7,293,743 and 15,871,822 is: 34,538,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293,743 : 15,871,822 = 15,871,822 : x
  2. Step 2: Convert to fraction form
    7,293,743/15,871,822 = 15,871,822/x
  3. Step 3: Cross multiply
    7,293,743x = 15,871,822 × 15,871,822
  4. Step 4: Simplify right side
    7,293,743x = 251,914,733,599,684
  5. Step 5: Solve for x
    x = 251,914,733,599,684/7,293,743
  6. Step 6: Final answer
    x = 34,538,471.34

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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.