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Finding the Third Proportional to 34,605,141.75 and 75,151,486.13

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Solution

The third proportional to 34,605,141.75 and 75,151,486.13 is: 163,205,396.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,605,141.75 : 75,151,486.13 = 75,151,486.13 : x
  2. Step 2: Convert to fraction form
    34,605,141.75/75,151,486.13 = 75,151,486.13/x
  3. Step 3: Cross multiply
    34,605,141.75x = 75,151,486.13 × 75,151,486.13
  4. Step 4: Simplify right side
    34,605,141.75x = 5,647,745,866,796,068
  5. Step 5: Solve for x
    x = 5,647,745,866,796,068/34,605,141.75
  6. Step 6: Final answer
    x = 163,205,396.11

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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.