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Finding the Third Proportional to 2,078,920,735 and 4,622,655,393

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Solution

The third proportional to 2,078,920,735 and 4,622,655,393 is: 10,278,863,702.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078,920,735 : 4,622,655,393 = 4,622,655,393 : x
  2. Step 2: Convert to fraction form
    2,078,920,735/4,622,655,393 = 4,622,655,393/x
  3. Step 3: Cross multiply
    2,078,920,735x = 4,622,655,393 × 4,622,655,393
  4. Step 4: Simplify right side
    2,078,920,735x = 21,368,942,882,431,983,616
  5. Step 5: Solve for x
    x = 21,368,942,882,431,983,616/2,078,920,735
  6. Step 6: Final answer
    x = 10,278,863,702.05

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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.