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Finding the Third Proportional to 12,357,421 and 25,844,148

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Solution

The third proportional to 12,357,421 and 25,844,148 is: 54,050,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357,421 : 25,844,148 = 25,844,148 : x
  2. Step 2: Convert to fraction form
    12,357,421/25,844,148 = 25,844,148/x
  3. Step 3: Cross multiply
    12,357,421x = 25,844,148 × 25,844,148
  4. Step 4: Simplify right side
    12,357,421x = 667,919,985,845,904
  5. Step 5: Solve for x
    x = 667,919,985,845,904/12,357,421
  6. Step 6: Final answer
    x = 54,050,111.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.