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Finding the Third Proportional to 2,078,920,746 and 4,622,655,417

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Solution

The third proportional to 2,078,920,746 and 4,622,655,417 is: 10,278,863,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078,920,746 : 4,622,655,417 = 4,622,655,417 : x
  2. Step 2: Convert to fraction form
    2,078,920,746/4,622,655,417 = 4,622,655,417/x
  3. Step 3: Cross multiply
    2,078,920,746x = 4,622,655,417 × 4,622,655,417
  4. Step 4: Simplify right side
    2,078,920,746x = 21,368,943,104,319,442,944
  5. Step 5: Solve for x
    x = 21,368,943,104,319,442,944/2,078,920,746
  6. Step 6: Final answer
    x = 10,278,863,754.40

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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.