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Finding the Third Proportional to 13,546,940 and 19,311,352

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Solution

The third proportional to 13,546,940 and 19,311,352 is: 27,528,601.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546,940 : 19,311,352 = 19,311,352 : x
  2. Step 2: Convert to fraction form
    13,546,940/19,311,352 = 19,311,352/x
  3. Step 3: Cross multiply
    13,546,940x = 19,311,352 × 19,311,352
  4. Step 4: Simplify right side
    13,546,940x = 372,928,316,067,904
  5. Step 5: Solve for x
    x = 372,928,316,067,904/13,546,940
  6. Step 6: Final answer
    x = 27,528,601.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.