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Finding the Third Proportional to 74,625,734 and 161,475,158

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Solution

The third proportional to 74,625,734 and 161,475,158 is: 349,399,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,625,734 : 161,475,158 = 161,475,158 : x
  2. Step 2: Convert to fraction form
    74,625,734/161,475,158 = 161,475,158/x
  3. Step 3: Cross multiply
    74,625,734x = 161,475,158 × 161,475,158
  4. Step 4: Simplify right side
    74,625,734x = 26,074,226,651,124,964
  5. Step 5: Solve for x
    x = 26,074,226,651,124,964/74,625,734
  6. Step 6: Final answer
    x = 349,399,935.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.