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Finding the Third Proportional to 73,332,076 and 161,307,680

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Solution

The third proportional to 73,332,076 and 161,307,680 is: 354,826,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,332,076 : 161,307,680 = 161,307,680 : x
  2. Step 2: Convert to fraction form
    73,332,076/161,307,680 = 161,307,680/x
  3. Step 3: Cross multiply
    73,332,076x = 161,307,680 × 161,307,680
  4. Step 4: Simplify right side
    73,332,076x = 26,020,167,626,982,400
  5. Step 5: Solve for x
    x = 26,020,167,626,982,400/73,332,076
  6. Step 6: Final answer
    x = 354,826,551.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.