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Finding the Third Proportional to 336,882,841,965 and 749,087,879,742

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Solution

The third proportional to 336,882,841,965 and 749,087,879,742 is: 1,665,661,119,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,882,841,965 : 749,087,879,742 = 749,087,879,742 : x
  2. Step 2: Convert to fraction form
    336,882,841,965/749,087,879,742 = 749,087,879,742/x
  3. Step 3: Cross multiply
    336,882,841,965x = 749,087,879,742 × 749,087,879,742
  4. Step 4: Simplify right side
    336,882,841,965x = 561,132,651,576,365,066,223,616
  5. Step 5: Solve for x
    x = 561,132,651,576,365,066,223,616/336,882,841,965
  6. Step 6: Final answer
    x = 1,665,661,119,169.33

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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.