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Finding the Third Proportional to 29,894,109.75 and 48,813,972.75

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Solution

The third proportional to 29,894,109.75 and 48,813,972.75 is: 79,708,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,894,109.75 : 48,813,972.75 = 48,813,972.75 : x
  2. Step 2: Convert to fraction form
    29,894,109.75/48,813,972.75 = 48,813,972.75/x
  3. Step 3: Cross multiply
    29,894,109.75x = 48,813,972.75 × 48,813,972.75
  4. Step 4: Simplify right side
    29,894,109.75x = 2,382,803,935,637,742.50
  5. Step 5: Solve for x
    x = 2,382,803,935,637,742.50/29,894,109.75
  6. Step 6: Final answer
    x = 79,708,141.69

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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.