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Finding the Third Proportional to 41,917,783,284 and 90,908,160,840

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Solution

The third proportional to 41,917,783,284 and 90,908,160,840 is: 197,154,836,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,917,783,284 : 90,908,160,840 = 90,908,160,840 : x
  2. Step 2: Convert to fraction form
    41,917,783,284/90,908,160,840 = 90,908,160,840/x
  3. Step 3: Cross multiply
    41,917,783,284x = 90,908,160,840 × 90,908,160,840
  4. Step 4: Simplify right side
    41,917,783,284x = 8,264,293,707,311,309,914,112
  5. Step 5: Solve for x
    x = 8,264,293,707,311,309,914,112/41,917,783,284
  6. Step 6: Final answer
    x = 197,154,836,440.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.