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Finding the Third Proportional to 35,780,014 and 78,589,113

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Solution

The third proportional to 35,780,014 and 78,589,113 is: 172,617,279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,780,014 : 78,589,113 = 78,589,113 : x
  2. Step 2: Convert to fraction form
    35,780,014/78,589,113 = 78,589,113/x
  3. Step 3: Cross multiply
    35,780,014x = 78,589,113 × 78,589,113
  4. Step 4: Simplify right side
    35,780,014x = 6,176,248,682,126,769
  5. Step 5: Solve for x
    x = 6,176,248,682,126,769/35,780,014
  6. Step 6: Final answer
    x = 172,617,279.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.