Home / 75,662,414,874.84-166,747,239,613.35

Finding the Third Proportional to 75,662,414,874.84 and 166,747,239,613.35

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Solution

The third proportional to 75,662,414,874.84 and 166,747,239,613.35 is: 367,482,877,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,662,414,874.84 : 166,747,239,613.35 = 166,747,239,613.35 : x
  2. Step 2: Convert to fraction form
    75,662,414,874.84/166,747,239,613.35 = 166,747,239,613.35/x
  3. Step 3: Cross multiply
    75,662,414,874.84x = 166,747,239,613.35 × 166,747,239,613.35
  4. Step 4: Simplify right side
    75,662,414,874.84x = 27,804,641,918,671,963,291,648
  5. Step 5: Solve for x
    x = 27,804,641,918,671,963,291,648/75,662,414,874.84
  6. Step 6: Final answer
    x = 367,482,877,260.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.