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Finding the Third Proportional to 7,580,328.75 and 16,437,499.88

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Solution

The third proportional to 7,580,328.75 and 16,437,499.88 is: 35,643,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580,328.75 : 16,437,499.88 = 16,437,499.88 : x
  2. Step 2: Convert to fraction form
    7,580,328.75/16,437,499.88 = 16,437,499.88/x
  3. Step 3: Cross multiply
    7,580,328.75x = 16,437,499.88 × 16,437,499.88
  4. Step 4: Simplify right side
    7,580,328.75x = 270,191,402,140,625
  5. Step 5: Solve for x
    x = 270,191,402,140,625/7,580,328.75
  6. Step 6: Final answer
    x = 35,643,757.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.