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Finding the Third Proportional to 2,701,092 and 5,763,776

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Solution

The third proportional to 2,701,092 and 5,763,776 is: 12,299,141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701,092 : 5,763,776 = 5,763,776 : x
  2. Step 2: Convert to fraction form
    2,701,092/5,763,776 = 5,763,776/x
  3. Step 3: Cross multiply
    2,701,092x = 5,763,776 × 5,763,776
  4. Step 4: Simplify right side
    2,701,092x = 33,221,113,778,176
  5. Step 5: Solve for x
    x = 33,221,113,778,176/2,701,092
  6. Step 6: Final answer
    x = 12,299,141.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.