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Finding the Third Proportional to 36,077,914 and 78,771,315

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Solution

The third proportional to 36,077,914 and 78,771,315 is: 171,986,663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,077,914 : 78,771,315 = 78,771,315 : x
  2. Step 2: Convert to fraction form
    36,077,914/78,771,315 = 78,771,315/x
  3. Step 3: Cross multiply
    36,077,914x = 78,771,315 × 78,771,315
  4. Step 4: Simplify right side
    36,077,914x = 6,204,920,066,829,225
  5. Step 5: Solve for x
    x = 6,204,920,066,829,225/36,077,914
  6. Step 6: Final answer
    x = 171,986,663.83

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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.