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Finding the Third Proportional to 37,656,930,033 and 81,933,014,765

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Solution

The third proportional to 37,656,930,033 and 81,933,014,765 is: 178,267,822,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,656,930,033 : 81,933,014,765 = 81,933,014,765 : x
  2. Step 2: Convert to fraction form
    37,656,930,033/81,933,014,765 = 81,933,014,765/x
  3. Step 3: Cross multiply
    37,656,930,033x = 81,933,014,765 × 81,933,014,765
  4. Step 4: Simplify right side
    37,656,930,033x = 6,713,018,908,481,707,573,248
  5. Step 5: Solve for x
    x = 6,713,018,908,481,707,573,248/37,656,930,033
  6. Step 6: Final answer
    x = 178,267,822,220.21

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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.