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Finding the Third Proportional to 34,873,677 and 47,872,037.50

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Solution

The third proportional to 34,873,677 and 47,872,037.50 is: 65,715,237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,873,677 : 47,872,037.50 = 47,872,037.50 : x
  2. Step 2: Convert to fraction form
    34,873,677/47,872,037.50 = 47,872,037.50/x
  3. Step 3: Cross multiply
    34,873,677x = 47,872,037.50 × 47,872,037.50
  4. Step 4: Simplify right side
    34,873,677x = 2,291,731,974,401,406
  5. Step 5: Solve for x
    x = 2,291,731,974,401,406/34,873,677
  6. Step 6: Final answer
    x = 65,715,237.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.