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Finding the Third Proportional to 467,289,599 and 997,124,482

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Solution

The third proportional to 467,289,599 and 997,124,482 is: 2,127,711,027.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,289,599 : 997,124,482 = 997,124,482 : x
  2. Step 2: Convert to fraction form
    467,289,599/997,124,482 = 997,124,482/x
  3. Step 3: Cross multiply
    467,289,599x = 997,124,482 × 997,124,482
  4. Step 4: Simplify right side
    467,289,599x = 994,257,232,603,768,320
  5. Step 5: Solve for x
    x = 994,257,232,603,768,320/467,289,599
  6. Step 6: Final answer
    x = 2,127,711,027.02

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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.