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Finding the Third Proportional to 7,758,625.50 and 16,934,427

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Solution

The third proportional to 7,758,625.50 and 16,934,427 is: 36,962,064.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758,625.50 : 16,934,427 = 16,934,427 : x
  2. Step 2: Convert to fraction form
    7,758,625.50/16,934,427 = 16,934,427/x
  3. Step 3: Cross multiply
    7,758,625.50x = 16,934,427 × 16,934,427
  4. Step 4: Simplify right side
    7,758,625.50x = 286,774,817,818,329
  5. Step 5: Solve for x
    x = 286,774,817,818,329/7,758,625.50
  6. Step 6: Final answer
    x = 36,962,064.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.