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Finding the Third Proportional to 33,375,971 and 69,309,877

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Solution

The third proportional to 33,375,971 and 69,309,877 is: 143,931,664.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,375,971 : 69,309,877 = 69,309,877 : x
  2. Step 2: Convert to fraction form
    33,375,971/69,309,877 = 69,309,877/x
  3. Step 3: Cross multiply
    33,375,971x = 69,309,877 × 69,309,877
  4. Step 4: Simplify right side
    33,375,971x = 4,803,859,049,755,129
  5. Step 5: Solve for x
    x = 4,803,859,049,755,129/33,375,971
  6. Step 6: Final answer
    x = 143,931,664.18

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.