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Finding the Third Proportional to 2,108,714,766 and 4,391,966,562

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Solution

The third proportional to 2,108,714,766 and 4,391,966,562 is: 9,147,453,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108,714,766 : 4,391,966,562 = 4,391,966,562 : x
  2. Step 2: Convert to fraction form
    2,108,714,766/4,391,966,562 = 4,391,966,562/x
  3. Step 3: Cross multiply
    2,108,714,766x = 4,391,966,562 × 4,391,966,562
  4. Step 4: Simplify right side
    2,108,714,766x = 19,289,370,281,726,099,456
  5. Step 5: Solve for x
    x = 19,289,370,281,726,099,456/2,108,714,766
  6. Step 6: Final answer
    x = 9,147,453,507.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.