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Finding the Third Proportional to 7,139,767 and 15,415,719

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Solution

The third proportional to 7,139,767 and 15,415,719 is: 33,284,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139,767 : 15,415,719 = 15,415,719 : x
  2. Step 2: Convert to fraction form
    7,139,767/15,415,719 = 15,415,719/x
  3. Step 3: Cross multiply
    7,139,767x = 15,415,719 × 15,415,719
  4. Step 4: Simplify right side
    7,139,767x = 237,644,392,286,961
  5. Step 5: Solve for x
    x = 237,644,392,286,961/7,139,767
  6. Step 6: Final answer
    x = 33,284,614.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.