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Finding the Third Proportional to 48,961,346 and 74,071,729

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Solution

The third proportional to 48,961,346 and 74,071,729 is: 112,060,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,961,346 : 74,071,729 = 74,071,729 : x
  2. Step 2: Convert to fraction form
    48,961,346/74,071,729 = 74,071,729/x
  3. Step 3: Cross multiply
    48,961,346x = 74,071,729 × 74,071,729
  4. Step 4: Simplify right side
    48,961,346x = 5,486,621,037,049,441
  5. Step 5: Solve for x
    x = 5,486,621,037,049,441/48,961,346
  6. Step 6: Final answer
    x = 112,060,257.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.