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Finding the Third Proportional to 336,882,841,933 and 749,087,879,679

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Solution

The third proportional to 336,882,841,933 and 749,087,879,679 is: 1,665,661,119,047.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,882,841,933 : 749,087,879,679 = 749,087,879,679 : x
  2. Step 2: Convert to fraction form
    336,882,841,933/749,087,879,679 = 749,087,879,679/x
  3. Step 3: Cross multiply
    336,882,841,933x = 749,087,879,679 × 749,087,879,679
  4. Step 4: Simplify right side
    336,882,841,933x = 561,132,651,481,980,005,777,408
  5. Step 5: Solve for x
    x = 561,132,651,481,980,005,777,408/336,882,841,933
  6. Step 6: Final answer
    x = 1,665,661,119,047.37

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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.