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Finding the Third Proportional to 16,184,129.75 and 34,676,703.25

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Solution

The third proportional to 16,184,129.75 and 34,676,703.25 is: 74,299,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184,129.75 : 34,676,703.25 = 34,676,703.25 : x
  2. Step 2: Convert to fraction form
    16,184,129.75/34,676,703.25 = 34,676,703.25/x
  3. Step 3: Cross multiply
    16,184,129.75x = 34,676,703.25 × 34,676,703.25
  4. Step 4: Simplify right side
    16,184,129.75x = 1,202,473,748,288,560.50
  5. Step 5: Solve for x
    x = 1,202,473,748,288,560.50/16,184,129.75
  6. Step 6: Final answer
    x = 74,299,561.78

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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.