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Finding the Third Proportional to 9,713,240 and 14,254,932

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Solution

The third proportional to 9,713,240 and 14,254,932 is: 20,920,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713,240 : 14,254,932 = 14,254,932 : x
  2. Step 2: Convert to fraction form
    9,713,240/14,254,932 = 14,254,932/x
  3. Step 3: Cross multiply
    9,713,240x = 14,254,932 × 14,254,932
  4. Step 4: Simplify right side
    9,713,240x = 203,203,086,324,624
  5. Step 5: Solve for x
    x = 203,203,086,324,624/9,713,240
  6. Step 6: Final answer
    x = 20,920,216.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.