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Finding the Third Proportional to 10,525,574 and 15,745,514

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Solution

The third proportional to 10,525,574 and 15,745,514 is: 23,554,174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525,574 : 15,745,514 = 15,745,514 : x
  2. Step 2: Convert to fraction form
    10,525,574/15,745,514 = 15,745,514/x
  3. Step 3: Cross multiply
    10,525,574x = 15,745,514 × 15,745,514
  4. Step 4: Simplify right side
    10,525,574x = 247,921,211,124,196
  5. Step 5: Solve for x
    x = 247,921,211,124,196/10,525,574
  6. Step 6: Final answer
    x = 23,554,174.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.