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Finding the Third Proportional to 9,726,014 and 15,256,704

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Solution

The third proportional to 9,726,014 and 15,256,704 is: 23,932,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726,014 : 15,256,704 = 15,256,704 : x
  2. Step 2: Convert to fraction form
    9,726,014/15,256,704 = 15,256,704/x
  3. Step 3: Cross multiply
    9,726,014x = 15,256,704 × 15,256,704
  4. Step 4: Simplify right side
    9,726,014x = 232,767,016,943,616
  5. Step 5: Solve for x
    x = 232,767,016,943,616/9,726,014
  6. Step 6: Final answer
    x = 23,932,416.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.