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Finding the Third Proportional to 467,289,583.50 and 997,124,451

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Solution

The third proportional to 467,289,583.50 and 997,124,451 is: 2,127,710,965.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,289,583.50 : 997,124,451 = 997,124,451 : x
  2. Step 2: Convert to fraction form
    467,289,583.50/997,124,451 = 997,124,451/x
  3. Step 3: Cross multiply
    467,289,583.50x = 997,124,451 × 997,124,451
  4. Step 4: Simplify right side
    467,289,583.50x = 994,257,170,782,051,456
  5. Step 5: Solve for x
    x = 994,257,170,782,051,456/467,289,583.50
  6. Step 6: Final answer
    x = 2,127,710,965.30

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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.