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Finding the Third Proportional to 27,962,073 and 37,778,575

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Solution

The third proportional to 27,962,073 and 37,778,575 is: 51,041,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,962,073 : 37,778,575 = 37,778,575 : x
  2. Step 2: Convert to fraction form
    27,962,073/37,778,575 = 37,778,575/x
  3. Step 3: Cross multiply
    27,962,073x = 37,778,575 × 37,778,575
  4. Step 4: Simplify right side
    27,962,073x = 1,427,220,729,030,625
  5. Step 5: Solve for x
    x = 1,427,220,729,030,625/27,962,073
  6. Step 6: Final answer
    x = 51,041,306.17

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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.