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Finding the Third Proportional to 35,230,098 and 49,612,032

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Solution

The third proportional to 35,230,098 and 49,612,032 is: 69,865,082.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,230,098 : 49,612,032 = 49,612,032 : x
  2. Step 2: Convert to fraction form
    35,230,098/49,612,032 = 49,612,032/x
  3. Step 3: Cross multiply
    35,230,098x = 49,612,032 × 49,612,032
  4. Step 4: Simplify right side
    35,230,098x = 2,461,353,719,169,024
  5. Step 5: Solve for x
    x = 2,461,353,719,169,024/35,230,098
  6. Step 6: Final answer
    x = 69,865,082.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.