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Finding the Third Proportional to 17,312,018.63 and 27,016,147.69

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Solution

The third proportional to 17,312,018.63 and 27,016,147.69 is: 42,159,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,312,018.63 : 27,016,147.69 = 27,016,147.69 : x
  2. Step 2: Convert to fraction form
    17,312,018.63/27,016,147.69 = 27,016,147.69/x
  3. Step 3: Cross multiply
    17,312,018.63x = 27,016,147.69 × 27,016,147.69
  4. Step 4: Simplify right side
    17,312,018.63x = 729,872,235,872,811.62
  5. Step 5: Solve for x
    x = 729,872,235,872,811.62/17,312,018.63
  6. Step 6: Final answer
    x = 42,159,857.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.