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Finding the Third Proportional to 767,675,824 and 1,671,656,288

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Solution

The third proportional to 767,675,824 and 1,671,656,288 is: 3,640,123,419.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,675,824 : 1,671,656,288 = 1,671,656,288 : x
  2. Step 2: Convert to fraction form
    767,675,824/1,671,656,288 = 1,671,656,288/x
  3. Step 3: Cross multiply
    767,675,824x = 1,671,656,288 × 1,671,656,288
  4. Step 4: Simplify right side
    767,675,824x = 2,794,434,745,209,938,944
  5. Step 5: Solve for x
    x = 2,794,434,745,209,938,944/767,675,824
  6. Step 6: Final answer
    x = 3,640,123,419.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.