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Finding the Third Proportional to 7,293,742 and 15,871,820

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Solution

The third proportional to 7,293,742 and 15,871,820 is: 34,538,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293,742 : 15,871,820 = 15,871,820 : x
  2. Step 2: Convert to fraction form
    7,293,742/15,871,820 = 15,871,820/x
  3. Step 3: Cross multiply
    7,293,742x = 15,871,820 × 15,871,820
  4. Step 4: Simplify right side
    7,293,742x = 251,914,670,112,400
  5. Step 5: Solve for x
    x = 251,914,670,112,400/7,293,742
  6. Step 6: Final answer
    x = 34,538,467.38

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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.