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Finding the Third Proportional to 2,856,410,982 and 4,411,962,216

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Solution

The third proportional to 2,856,410,982 and 4,411,962,216 is: 6,814,639,321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856,410,982 : 4,411,962,216 = 4,411,962,216 : x
  2. Step 2: Convert to fraction form
    2,856,410,982/4,411,962,216 = 4,411,962,216/x
  3. Step 3: Cross multiply
    2,856,410,982x = 4,411,962,216 × 4,411,962,216
  4. Step 4: Simplify right side
    2,856,410,982x = 19,465,410,595,411,632,128
  5. Step 5: Solve for x
    x = 19,465,410,595,411,632,128/2,856,410,982
  6. Step 6: Final answer
    x = 6,814,639,321.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.