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Finding the Third Proportional to 336,882,841,966 and 749,087,879,744

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Solution

The third proportional to 336,882,841,966 and 749,087,879,744 is: 1,665,661,119,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,882,841,966 : 749,087,879,744 = 749,087,879,744 : x
  2. Step 2: Convert to fraction form
    336,882,841,966/749,087,879,744 = 749,087,879,744/x
  3. Step 3: Cross multiply
    336,882,841,966x = 749,087,879,744 × 749,087,879,744
  4. Step 4: Simplify right side
    336,882,841,966x = 561,132,651,579,361,409,892,352
  5. Step 5: Solve for x
    x = 561,132,651,579,361,409,892,352/336,882,841,966
  6. Step 6: Final answer
    x = 1,665,661,119,173.28

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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.