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Finding the Third Proportional to 467,289,592 and 997,124,470

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Solution

The third proportional to 467,289,592 and 997,124,470 is: 2,127,711,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,289,592 : 997,124,470 = 997,124,470 : x
  2. Step 2: Convert to fraction form
    467,289,592/997,124,470 = 997,124,470/x
  3. Step 3: Cross multiply
    467,289,592x = 997,124,470 × 997,124,470
  4. Step 4: Simplify right side
    467,289,592x = 994,257,208,672,780,928
  5. Step 5: Solve for x
    x = 994,257,208,672,780,928/467,289,592
  6. Step 6: Final answer
    x = 2,127,711,007.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.