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Finding the Third Proportional to 4,107,048,986 and 8,966,706,124

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Solution

The third proportional to 4,107,048,986 and 8,966,706,124 is: 19,576,542,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107,048,986 : 8,966,706,124 = 8,966,706,124 : x
  2. Step 2: Convert to fraction form
    4,107,048,986/8,966,706,124 = 8,966,706,124/x
  3. Step 3: Cross multiply
    4,107,048,986x = 8,966,706,124 × 8,966,706,124
  4. Step 4: Simplify right side
    4,107,048,986x = 80,401,818,714,179,108,864
  5. Step 5: Solve for x
    x = 80,401,818,714,179,108,864/4,107,048,986
  6. Step 6: Final answer
    x = 19,576,542,424.56

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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.