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Finding the Third Proportional to 5,096,833,866,600 and 10,920,661,482,432

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Solution

The third proportional to 5,096,833,866,600 and 10,920,661,482,432 is: 23,399,006,193,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096,833,866,600 : 10,920,661,482,432 = 10,920,661,482,432 : x
  2. Step 2: Convert to fraction form
    5,096,833,866,600/10,920,661,482,432 = 10,920,661,482,432/x
  3. Step 3: Cross multiply
    5,096,833,866,600x = 10,920,661,482,432 × 10,920,661,482,432
  4. Step 4: Simplify right side
    5,096,833,866,600x = 119,260,847,213,873,880,377,589,760
  5. Step 5: Solve for x
    x = 119,260,847,213,873,880,377,589,760/5,096,833,866,600
  6. Step 6: Final answer
    x = 23,399,006,193,904.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.