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Finding the Third Proportional to 9,332,142 and 19,409,232

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Solution

The third proportional to 9,332,142 and 19,409,232 is: 40,367,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332,142 : 19,409,232 = 19,409,232 : x
  2. Step 2: Convert to fraction form
    9,332,142/19,409,232 = 19,409,232/x
  3. Step 3: Cross multiply
    9,332,142x = 19,409,232 × 19,409,232
  4. Step 4: Simplify right side
    9,332,142x = 376,718,286,829,824
  5. Step 5: Solve for x
    x = 376,718,286,829,824/9,332,142
  6. Step 6: Final answer
    x = 40,367,826.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.