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Finding the Third Proportional to 37,656,930,050 and 81,933,014,798

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Solution

The third proportional to 37,656,930,050 and 81,933,014,798 is: 178,267,822,283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,656,930,050 : 81,933,014,798 = 81,933,014,798 : x
  2. Step 2: Convert to fraction form
    37,656,930,050/81,933,014,798 = 81,933,014,798/x
  3. Step 3: Cross multiply
    37,656,930,050x = 81,933,014,798 × 81,933,014,798
  4. Step 4: Simplify right side
    37,656,930,050x = 6,713,018,913,889,287,405,568
  5. Step 5: Solve for x
    x = 6,713,018,913,889,287,405,568/37,656,930,050
  6. Step 6: Final answer
    x = 178,267,822,283.33

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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.