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Finding the Third Proportional to 34,538,141 and 75,565,521

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Solution

The third proportional to 34,538,141 and 75,565,521 is: 165,328,758.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,538,141 : 75,565,521 = 75,565,521 : x
  2. Step 2: Convert to fraction form
    34,538,141/75,565,521 = 75,565,521/x
  3. Step 3: Cross multiply
    34,538,141x = 75,565,521 × 75,565,521
  4. Step 4: Simplify right side
    34,538,141x = 5,710,147,964,001,441
  5. Step 5: Solve for x
    x = 5,710,147,964,001,441/34,538,141
  6. Step 6: Final answer
    x = 165,328,758.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.