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Finding the Third Proportional to 30,867,892 and 45,409,614

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Solution

The third proportional to 30,867,892 and 45,409,614 is: 66,801,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867,892 : 45,409,614 = 45,409,614 : x
  2. Step 2: Convert to fraction form
    30,867,892/45,409,614 = 45,409,614/x
  3. Step 3: Cross multiply
    30,867,892x = 45,409,614 × 45,409,614
  4. Step 4: Simplify right side
    30,867,892x = 2,062,033,043,628,996
  5. Step 5: Solve for x
    x = 2,062,033,043,628,996/30,867,892
  6. Step 6: Final answer
    x = 66,801,874.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.