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Finding the Third Proportional to 38,220,628 and 83,159,360

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Solution

The third proportional to 38,220,628 and 83,159,360 is: 180,935,780.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,220,628 : 83,159,360 = 83,159,360 : x
  2. Step 2: Convert to fraction form
    38,220,628/83,159,360 = 83,159,360/x
  3. Step 3: Cross multiply
    38,220,628x = 83,159,360 × 83,159,360
  4. Step 4: Simplify right side
    38,220,628x = 6,915,479,155,609,600
  5. Step 5: Solve for x
    x = 6,915,479,155,609,600/38,220,628
  6. Step 6: Final answer
    x = 180,935,780.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.