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Finding the Third Proportional to 30,681,433 and 68,173,320

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Solution

The third proportional to 30,681,433 and 68,173,320 is: 151,479,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,681,433 : 68,173,320 = 68,173,320 : x
  2. Step 2: Convert to fraction form
    30,681,433/68,173,320 = 68,173,320/x
  3. Step 3: Cross multiply
    30,681,433x = 68,173,320 × 68,173,320
  4. Step 4: Simplify right side
    30,681,433x = 4,647,601,559,822,400
  5. Step 5: Solve for x
    x = 4,647,601,559,822,400/30,681,433
  6. Step 6: Final answer
    x = 151,479,285.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.