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Finding the Third Proportional to 34,110,005 and 52,482,457.50

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Solution

The third proportional to 34,110,005 and 52,482,457.50 is: 80,750,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,110,005 : 52,482,457.50 = 52,482,457.50 : x
  2. Step 2: Convert to fraction form
    34,110,005/52,482,457.50 = 52,482,457.50/x
  3. Step 3: Cross multiply
    34,110,005x = 52,482,457.50 × 52,482,457.50
  4. Step 4: Simplify right side
    34,110,005x = 2,754,408,345,239,306
  5. Step 5: Solve for x
    x = 2,754,408,345,239,306/34,110,005
  6. Step 6: Final answer
    x = 80,750,745.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.