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Finding the Third Proportional to 1,018,649,664 and 2,182,515,660

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Solution

The third proportional to 1,018,649,664 and 2,182,515,660 is: 4,676,165,687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,649,664 : 2,182,515,660 = 2,182,515,660 : x
  2. Step 2: Convert to fraction form
    1,018,649,664/2,182,515,660 = 2,182,515,660/x
  3. Step 3: Cross multiply
    1,018,649,664x = 2,182,515,660 × 2,182,515,660
  4. Step 4: Simplify right side
    1,018,649,664x = 4,763,374,606,145,235,968
  5. Step 5: Solve for x
    x = 4,763,374,606,145,235,968/1,018,649,664
  6. Step 6: Final answer
    x = 4,676,165,687.27

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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.