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Finding the Third Proportional to 34,773,438 and 75,520,284

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Solution

The third proportional to 34,773,438 and 75,520,284 is: 164,013,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,773,438 : 75,520,284 = 75,520,284 : x
  2. Step 2: Convert to fraction form
    34,773,438/75,520,284 = 75,520,284/x
  3. Step 3: Cross multiply
    34,773,438x = 75,520,284 × 75,520,284
  4. Step 4: Simplify right side
    34,773,438x = 5,703,313,295,440,656
  5. Step 5: Solve for x
    x = 5,703,313,295,440,656/34,773,438
  6. Step 6: Final answer
    x = 164,013,500.63

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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.