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Finding the Third Proportional to 27,961,594 and 37,777,854

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Solution

The third proportional to 27,961,594 and 37,777,854 is: 51,040,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,961,594 : 37,777,854 = 37,777,854 : x
  2. Step 2: Convert to fraction form
    27,961,594/37,777,854 = 37,777,854/x
  3. Step 3: Cross multiply
    27,961,594x = 37,777,854 × 37,777,854
  4. Step 4: Simplify right side
    27,961,594x = 1,427,166,252,845,316
  5. Step 5: Solve for x
    x = 1,427,166,252,845,316/27,961,594
  6. Step 6: Final answer
    x = 51,040,232.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.