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Finding the Third Proportional to 2,078,920,739 and 4,622,655,400

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Solution

The third proportional to 2,078,920,739 and 4,622,655,400 is: 10,278,863,713.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078,920,739 : 4,622,655,400 = 4,622,655,400 : x
  2. Step 2: Convert to fraction form
    2,078,920,739/4,622,655,400 = 4,622,655,400/x
  3. Step 3: Cross multiply
    2,078,920,739x = 4,622,655,400 × 4,622,655,400
  4. Step 4: Simplify right side
    2,078,920,739x = 21,368,942,947,149,160,448
  5. Step 5: Solve for x
    x = 21,368,942,947,149,160,448/2,078,920,739
  6. Step 6: Final answer
    x = 10,278,863,713.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.