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Finding the Third Proportional to 74,624,166 and 161,471,434.50

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Solution

The third proportional to 74,624,166 and 161,471,434.50 is: 349,391,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,624,166 : 161,471,434.50 = 161,471,434.50 : x
  2. Step 2: Convert to fraction form
    74,624,166/161,471,434.50 = 161,471,434.50/x
  3. Step 3: Cross multiply
    74,624,166x = 161,471,434.50 × 161,471,434.50
  4. Step 4: Simplify right side
    74,624,166x = 26,073,024,159,487,792
  5. Step 5: Solve for x
    x = 26,073,024,159,487,792/74,624,166
  6. Step 6: Final answer
    x = 349,391,163.17

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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.