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Finding the Third Proportional to 47,974,149.75 and 70,162,071

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Solution

The third proportional to 47,974,149.75 and 70,162,071 is: 102,611,848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,974,149.75 : 70,162,071 = 70,162,071 : x
  2. Step 2: Convert to fraction form
    47,974,149.75/70,162,071 = 70,162,071/x
  3. Step 3: Cross multiply
    47,974,149.75x = 70,162,071 × 70,162,071
  4. Step 4: Simplify right side
    47,974,149.75x = 4,922,716,207,009,041
  5. Step 5: Solve for x
    x = 4,922,716,207,009,041/47,974,149.75
  6. Step 6: Final answer
    x = 102,611,848.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.