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Finding the Third Proportional to 74,146,475 and 161,474,485

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Solution

The third proportional to 74,146,475 and 161,474,485 is: 351,655,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,146,475 : 161,474,485 = 161,474,485 : x
  2. Step 2: Convert to fraction form
    74,146,475/161,474,485 = 161,474,485/x
  3. Step 3: Cross multiply
    74,146,475x = 161,474,485 × 161,474,485
  4. Step 4: Simplify right side
    74,146,475x = 26,074,009,306,015,224
  5. Step 5: Solve for x
    x = 26,074,009,306,015,224/74,146,475
  6. Step 6: Final answer
    x = 351,655,413.23

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Why These Related Problems?

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