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Finding the Third Proportional to 34,565,163.38 and 74,060,569.13

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Solution

The third proportional to 34,565,163.38 and 74,060,569.13 is: 158,684,853.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,565,163.38 : 74,060,569.13 = 74,060,569.13 : x
  2. Step 2: Convert to fraction form
    34,565,163.38/74,060,569.13 = 74,060,569.13/x
  3. Step 3: Cross multiply
    34,565,163.38x = 74,060,569.13 × 74,060,569.13
  4. Step 4: Simplify right side
    34,565,163.38x = 5,484,967,899,118,903
  5. Step 5: Solve for x
    x = 5,484,967,899,118,903/34,565,163.38
  6. Step 6: Final answer
    x = 158,684,853.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.