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Finding the Third Proportional to 8,293,781,214 and 18,278,099,220

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Solution

The third proportional to 8,293,781,214 and 18,278,099,220 is: 40,281,857,270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293,781,214 : 18,278,099,220 = 18,278,099,220 : x
  2. Step 2: Convert to fraction form
    8,293,781,214/18,278,099,220 = 18,278,099,220/x
  3. Step 3: Cross multiply
    8,293,781,214x = 18,278,099,220 × 18,278,099,220
  4. Step 4: Simplify right side
    8,293,781,214x = 334,088,911,096,164,581,376
  5. Step 5: Solve for x
    x = 334,088,911,096,164,581,376/8,293,781,214
  6. Step 6: Final answer
    x = 40,281,857,270.63

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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.