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Finding the Third Proportional to 767,675,746 and 1,671,656,132

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Solution

The third proportional to 767,675,746 and 1,671,656,132 is: 3,640,123,109.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,675,746 : 1,671,656,132 = 1,671,656,132 : x
  2. Step 2: Convert to fraction form
    767,675,746/1,671,656,132 = 1,671,656,132/x
  3. Step 3: Cross multiply
    767,675,746x = 1,671,656,132 × 1,671,656,132
  4. Step 4: Simplify right side
    767,675,746x = 2,794,434,223,653,201,408
  5. Step 5: Solve for x
    x = 2,794,434,223,653,201,408/767,675,746
  6. Step 6: Final answer
    x = 3,640,123,109.55

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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.