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Finding the Third Proportional to 11,057,760 and 22,998,312

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Solution

The third proportional to 11,057,760 and 22,998,312 is: 47,832,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057,760 : 22,998,312 = 22,998,312 : x
  2. Step 2: Convert to fraction form
    11,057,760/22,998,312 = 22,998,312/x
  3. Step 3: Cross multiply
    11,057,760x = 22,998,312 × 22,998,312
  4. Step 4: Simplify right side
    11,057,760x = 528,922,354,849,344
  5. Step 5: Solve for x
    x = 528,922,354,849,344/11,057,760
  6. Step 6: Final answer
    x = 47,832,685.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.