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Finding the Third Proportional to 12,538,642 and 19,132,259

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Solution

The third proportional to 12,538,642 and 19,132,259 is: 29,193,220.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538,642 : 19,132,259 = 19,132,259 : x
  2. Step 2: Convert to fraction form
    12,538,642/19,132,259 = 19,132,259/x
  3. Step 3: Cross multiply
    12,538,642x = 19,132,259 × 19,132,259
  4. Step 4: Simplify right side
    12,538,642x = 366,043,334,443,081
  5. Step 5: Solve for x
    x = 366,043,334,443,081/12,538,642
  6. Step 6: Final answer
    x = 29,193,220.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.