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Finding the Third Proportional to 7,293,747 and 15,871,830

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Solution

The third proportional to 7,293,747 and 15,871,830 is: 34,538,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293,747 : 15,871,830 = 15,871,830 : x
  2. Step 2: Convert to fraction form
    7,293,747/15,871,830 = 15,871,830/x
  3. Step 3: Cross multiply
    7,293,747x = 15,871,830 × 15,871,830
  4. Step 4: Simplify right side
    7,293,747x = 251,914,987,548,900
  5. Step 5: Solve for x
    x = 251,914,987,548,900/7,293,747
  6. Step 6: Final answer
    x = 34,538,487.22

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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.