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Finding the Third Proportional to 4,893,416 and 11,513,213

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Solution

The third proportional to 4,893,416 and 11,513,213 is: 27,088,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893,416 : 11,513,213 = 11,513,213 : x
  2. Step 2: Convert to fraction form
    4,893,416/11,513,213 = 11,513,213/x
  3. Step 3: Cross multiply
    4,893,416x = 11,513,213 × 11,513,213
  4. Step 4: Simplify right side
    4,893,416x = 132,554,073,583,369
  5. Step 5: Solve for x
    x = 132,554,073,583,369/4,893,416
  6. Step 6: Final answer
    x = 27,088,249.51

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.