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Finding the Third Proportional to 7,666,127 and 16,887,754

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Solution

The third proportional to 7,666,127 and 16,887,754 is: 37,202,127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666,127 : 16,887,754 = 16,887,754 : x
  2. Step 2: Convert to fraction form
    7,666,127/16,887,754 = 16,887,754/x
  3. Step 3: Cross multiply
    7,666,127x = 16,887,754 × 16,887,754
  4. Step 4: Simplify right side
    7,666,127x = 285,196,235,164,516
  5. Step 5: Solve for x
    x = 285,196,235,164,516/7,666,127
  6. Step 6: Final answer
    x = 37,202,127.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.