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Finding the Third Proportional to 1,043,652,816 and 2,236,701,380

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Solution

The third proportional to 1,043,652,816 and 2,236,701,380 is: 4,793,579,806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043,652,816 : 2,236,701,380 = 2,236,701,380 : x
  2. Step 2: Convert to fraction form
    1,043,652,816/2,236,701,380 = 2,236,701,380/x
  3. Step 3: Cross multiply
    1,043,652,816x = 2,236,701,380 × 2,236,701,380
  4. Step 4: Simplify right side
    1,043,652,816x = 5,002,833,063,293,904,896
  5. Step 5: Solve for x
    x = 5,002,833,063,293,904,896/1,043,652,816
  6. Step 6: Final answer
    x = 4,793,579,806.04

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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.