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Finding the Third Proportional to 34,703,202 and 75,380,313

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Solution

The third proportional to 34,703,202 and 75,380,313 is: 163,736,809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,703,202 : 75,380,313 = 75,380,313 : x
  2. Step 2: Convert to fraction form
    34,703,202/75,380,313 = 75,380,313/x
  3. Step 3: Cross multiply
    34,703,202x = 75,380,313 × 75,380,313
  4. Step 4: Simplify right side
    34,703,202x = 5,682,191,587,977,969
  5. Step 5: Solve for x
    x = 5,682,191,587,977,969/34,703,202
  6. Step 6: Final answer
    x = 163,736,809.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.