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Finding the Third Proportional to 70,422,076 and 149,322,584

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Solution

The third proportional to 70,422,076 and 149,322,584 is: 316,622,788.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,422,076 : 149,322,584 = 149,322,584 : x
  2. Step 2: Convert to fraction form
    70,422,076/149,322,584 = 149,322,584/x
  3. Step 3: Cross multiply
    70,422,076x = 149,322,584 × 149,322,584
  4. Step 4: Simplify right side
    70,422,076x = 22,297,234,092,437,056
  5. Step 5: Solve for x
    x = 22,297,234,092,437,056/70,422,076
  6. Step 6: Final answer
    x = 316,622,788.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.