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Finding the Third Proportional to 13,274,864 and 28,952,416

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Solution

The third proportional to 13,274,864 and 28,952,416 is: 63,145,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274,864 : 28,952,416 = 28,952,416 : x
  2. Step 2: Convert to fraction form
    13,274,864/28,952,416 = 28,952,416/x
  3. Step 3: Cross multiply
    13,274,864x = 28,952,416 × 28,952,416
  4. Step 4: Simplify right side
    13,274,864x = 838,242,392,237,056
  5. Step 5: Solve for x
    x = 838,242,392,237,056/13,274,864
  6. Step 6: Final answer
    x = 63,145,083.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.