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Finding the Third Proportional to 29,894,103 and 48,813,961.50

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Solution

The third proportional to 29,894,103 and 48,813,961.50 is: 79,708,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,894,103 : 48,813,961.50 = 48,813,961.50 : x
  2. Step 2: Convert to fraction form
    29,894,103/48,813,961.50 = 48,813,961.50/x
  3. Step 3: Cross multiply
    29,894,103x = 48,813,961.50 × 48,813,961.50
  4. Step 4: Simplify right side
    29,894,103x = 2,382,802,837,323,482
  5. Step 5: Solve for x
    x = 2,382,802,837,323,482/29,894,103
  6. Step 6: Final answer
    x = 79,708,122.95

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.