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Finding the Third Proportional to 460,003,132 and 997,620,472

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Solution

The third proportional to 460,003,132 and 997,620,472 is: 2,163,564,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,003,132 : 997,620,472 = 997,620,472 : x
  2. Step 2: Convert to fraction form
    460,003,132/997,620,472 = 997,620,472/x
  3. Step 3: Cross multiply
    460,003,132x = 997,620,472 × 997,620,472
  4. Step 4: Simplify right side
    460,003,132x = 995,246,606,153,502,720
  5. Step 5: Solve for x
    x = 995,246,606,153,502,720/460,003,132
  6. Step 6: Final answer
    x = 2,163,564,847.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.