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Finding the Third Proportional to 1,043,652,807 and 2,236,701,360

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Solution

The third proportional to 1,043,652,807 and 2,236,701,360 is: 4,793,579,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043,652,807 : 2,236,701,360 = 2,236,701,360 : x
  2. Step 2: Convert to fraction form
    1,043,652,807/2,236,701,360 = 2,236,701,360/x
  3. Step 3: Cross multiply
    1,043,652,807x = 2,236,701,360 × 2,236,701,360
  4. Step 4: Simplify right side
    1,043,652,807x = 5,002,832,973,825,849,344
  5. Step 5: Solve for x
    x = 5,002,832,973,825,849,344/1,043,652,807
  6. Step 6: Final answer
    x = 4,793,579,761.65

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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.