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Finding the Third Proportional to 229,797,652 and 491,875,410

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Solution

The third proportional to 229,797,652 and 491,875,410 is: 1,052,845,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,797,652 : 491,875,410 = 491,875,410 : x
  2. Step 2: Convert to fraction form
    229,797,652/491,875,410 = 491,875,410/x
  3. Step 3: Cross multiply
    229,797,652x = 491,875,410 × 491,875,410
  4. Step 4: Simplify right side
    229,797,652x = 241,941,418,962,668,096
  5. Step 5: Solve for x
    x = 241,941,418,962,668,096/229,797,652
  6. Step 6: Final answer
    x = 1,052,845,478.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.