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Finding the Third Proportional to 7,293,750 and 15,871,834

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Solution

The third proportional to 7,293,750 and 15,871,834 is: 34,538,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293,750 : 15,871,834 = 15,871,834 : x
  2. Step 2: Convert to fraction form
    7,293,750/15,871,834 = 15,871,834/x
  3. Step 3: Cross multiply
    7,293,750x = 15,871,834 × 15,871,834
  4. Step 4: Simplify right side
    7,293,750x = 251,915,114,523,556
  5. Step 5: Solve for x
    x = 251,915,114,523,556/7,293,750
  6. Step 6: Final answer
    x = 34,538,490.42

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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.