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Finding the Third Proportional to 68,587,834 and 147,944,420

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Solution

The third proportional to 68,587,834 and 147,944,420 is: 319,117,110.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,587,834 : 147,944,420 = 147,944,420 : x
  2. Step 2: Convert to fraction form
    68,587,834/147,944,420 = 147,944,420/x
  3. Step 3: Cross multiply
    68,587,834x = 147,944,420 × 147,944,420
  4. Step 4: Simplify right side
    68,587,834x = 21,887,551,409,136,400
  5. Step 5: Solve for x
    x = 21,887,551,409,136,400/68,587,834
  6. Step 6: Final answer
    x = 319,117,110.61

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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.