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Finding the Third Proportional to 47,758,924.50 and 75,746,099.25

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Solution

The third proportional to 47,758,924.50 and 75,746,099.25 is: 120,134,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,758,924.50 : 75,746,099.25 = 75,746,099.25 : x
  2. Step 2: Convert to fraction form
    47,758,924.50/75,746,099.25 = 75,746,099.25/x
  3. Step 3: Cross multiply
    47,758,924.50x = 75,746,099.25 × 75,746,099.25
  4. Step 4: Simplify right side
    47,758,924.50x = 5,737,471,551,590,851
  5. Step 5: Solve for x
    x = 5,737,471,551,590,851/47,758,924.50
  6. Step 6: Final answer
    x = 120,134,019.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.