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Finding the Third Proportional to 36,414,324 and 78,022,648.13

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Solution

The third proportional to 36,414,324 and 78,022,648.13 is: 167,174,148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414,324 : 78,022,648.13 = 78,022,648.13 : x
  2. Step 2: Convert to fraction form
    36,414,324/78,022,648.13 = 78,022,648.13/x
  3. Step 3: Cross multiply
    36,414,324x = 78,022,648.13 × 78,022,648.13
  4. Step 4: Simplify right side
    36,414,324x = 6,087,533,620,437,566
  5. Step 5: Solve for x
    x = 6,087,533,620,437,566/36,414,324
  6. Step 6: Final answer
    x = 167,174,148.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.