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Finding the Third Proportional to 48,961,284 and 74,071,633.50

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Solution

The third proportional to 48,961,284 and 74,071,633.50 is: 112,060,110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,961,284 : 74,071,633.50 = 74,071,633.50 : x
  2. Step 2: Convert to fraction form
    48,961,284/74,071,633.50 = 74,071,633.50/x
  3. Step 3: Cross multiply
    48,961,284x = 74,071,633.50 × 74,071,633.50
  4. Step 4: Simplify right side
    48,961,284x = 5,486,606,889,358,322
  5. Step 5: Solve for x
    x = 5,486,606,889,358,322/48,961,284
  6. Step 6: Final answer
    x = 112,060,110.38

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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.