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Finding the Third Proportional to 272,217,424 and 597,342,608

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Solution

The third proportional to 272,217,424 and 597,342,608 is: 1,310,783,806.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,217,424 : 597,342,608 = 597,342,608 : x
  2. Step 2: Convert to fraction form
    272,217,424/597,342,608 = 597,342,608/x
  3. Step 3: Cross multiply
    272,217,424x = 597,342,608 × 597,342,608
  4. Step 4: Simplify right side
    272,217,424x = 356,818,191,332,241,664
  5. Step 5: Solve for x
    x = 356,818,191,332,241,664/272,217,424
  6. Step 6: Final answer
    x = 1,310,783,806.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.