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Finding the Third Proportional to 4,107,049,596 and 8,966,707,128

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Solution

The third proportional to 4,107,049,596 and 8,966,707,128 is: 19,576,543,900.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107,049,596 : 8,966,707,128 = 8,966,707,128 : x
  2. Step 2: Convert to fraction form
    4,107,049,596/8,966,707,128 = 8,966,707,128/x
  3. Step 3: Cross multiply
    4,107,049,596x = 8,966,707,128 × 8,966,707,128
  4. Step 4: Simplify right side
    4,107,049,596x = 80,401,836,719,326,003,200
  5. Step 5: Solve for x
    x = 80,401,836,719,326,003,200/4,107,049,596
  6. Step 6: Final answer
    x = 19,576,543,900.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.