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Finding the Third Proportional to 74,146,473 and 161,474,481

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Solution

The third proportional to 74,146,473 and 161,474,481 is: 351,655,405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,146,473 : 161,474,481 = 161,474,481 : x
  2. Step 2: Convert to fraction form
    74,146,473/161,474,481 = 161,474,481/x
  3. Step 3: Cross multiply
    74,146,473x = 161,474,481 × 161,474,481
  4. Step 4: Simplify right side
    74,146,473x = 26,074,008,014,219,360
  5. Step 5: Solve for x
    x = 26,074,008,014,219,360/74,146,473
  6. Step 6: Final answer
    x = 351,655,405.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.