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Finding the Third Proportional to 16,636,189,842 and 36,991,994,291

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Solution

The third proportional to 16,636,189,842 and 36,991,994,291 is: 82,254,870,533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,636,189,842 : 36,991,994,291 = 36,991,994,291 : x
  2. Step 2: Convert to fraction form
    16,636,189,842/36,991,994,291 = 36,991,994,291/x
  3. Step 3: Cross multiply
    16,636,189,842x = 36,991,994,291 × 36,991,994,291
  4. Step 4: Simplify right side
    16,636,189,842x = 1,368,407,641,625,376,587,776
  5. Step 5: Solve for x
    x = 1,368,407,641,625,376,587,776/16,636,189,842
  6. Step 6: Final answer
    x = 82,254,870,533.56

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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.