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Finding the Third Proportional to 9,726,018 and 15,256,710

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Solution

The third proportional to 9,726,018 and 15,256,710 is: 23,932,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726,018 : 15,256,710 = 15,256,710 : x
  2. Step 2: Convert to fraction form
    9,726,018/15,256,710 = 15,256,710/x
  3. Step 3: Cross multiply
    9,726,018x = 15,256,710 × 15,256,710
  4. Step 4: Simplify right side
    9,726,018x = 232,767,200,024,100
  5. Step 5: Solve for x
    x = 232,767,200,024,100/9,726,018
  6. Step 6: Final answer
    x = 23,932,425.38

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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.