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Finding the Third Proportional to 866,102,784 and 2,043,847,488

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Solution

The third proportional to 866,102,784 and 2,043,847,488 is: 4,823,114,105.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,102,784 : 2,043,847,488 = 2,043,847,488 : x
  2. Step 2: Convert to fraction form
    866,102,784/2,043,847,488 = 2,043,847,488/x
  3. Step 3: Cross multiply
    866,102,784x = 2,043,847,488 × 2,043,847,488
  4. Step 4: Simplify right side
    866,102,784x = 4,177,312,554,203,910,144
  5. Step 5: Solve for x
    x = 4,177,312,554,203,910,144/866,102,784
  6. Step 6: Final answer
    x = 4,823,114,105.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.