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Finding the Third Proportional to 34,876,437.75 and 75,083,821.88

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Solution

The third proportional to 34,876,437.75 and 75,083,821.88 is: 161,644,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,876,437.75 : 75,083,821.88 = 75,083,821.88 : x
  2. Step 2: Convert to fraction form
    34,876,437.75/75,083,821.88 = 75,083,821.88/x
  3. Step 3: Cross multiply
    34,876,437.75x = 75,083,821.88 × 75,083,821.88
  4. Step 4: Simplify right side
    34,876,437.75x = 5,637,580,307,356,729
  5. Step 5: Solve for x
    x = 5,637,580,307,356,729/34,876,437.75
  6. Step 6: Final answer
    x = 161,644,384.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.