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Finding the Third Proportional to 338,551,868 and 476,755,633

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Solution

The third proportional to 338,551,868 and 476,755,633 is: 671,376,988.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,551,868 : 476,755,633 = 476,755,633 : x
  2. Step 2: Convert to fraction form
    338,551,868/476,755,633 = 476,755,633/x
  3. Step 3: Cross multiply
    338,551,868x = 476,755,633 × 476,755,633
  4. Step 4: Simplify right side
    338,551,868x = 227,295,933,597,230,688
  5. Step 5: Solve for x
    x = 227,295,933,597,230,688/338,551,868
  6. Step 6: Final answer
    x = 671,376,988.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.