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Finding the Third Proportional to 1,687,339,161 and 3,671,718,208.59

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Solution

The third proportional to 1,687,339,161 and 3,671,718,208.59 is: 7,989,807,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,339,161 : 3,671,718,208.59 = 3,671,718,208.59 : x
  2. Step 2: Convert to fraction form
    1,687,339,161/3,671,718,208.59 = 3,671,718,208.59/x
  3. Step 3: Cross multiply
    1,687,339,161x = 3,671,718,208.59 × 3,671,718,208.59
  4. Step 4: Simplify right side
    1,687,339,161x = 13,481,514,603,319,265,280
  5. Step 5: Solve for x
    x = 13,481,514,603,319,265,280/1,687,339,161
  6. Step 6: Final answer
    x = 7,989,807,215.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.