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Finding the Third Proportional to 67,351,014 and 145,479,564

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Solution

The third proportional to 67,351,014 and 145,479,564 is: 314,238,825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,351,014 : 145,479,564 = 145,479,564 : x
  2. Step 2: Convert to fraction form
    67,351,014/145,479,564 = 145,479,564/x
  3. Step 3: Cross multiply
    67,351,014x = 145,479,564 × 145,479,564
  4. Step 4: Simplify right side
    67,351,014x = 21,164,303,541,630,096
  5. Step 5: Solve for x
    x = 21,164,303,541,630,096/67,351,014
  6. Step 6: Final answer
    x = 314,238,825.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.