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Finding the Third Proportional to 5,096,833,866,602 and 10,920,661,482,436

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Solution

The third proportional to 5,096,833,866,602 and 10,920,661,482,436 is: 23,399,006,193,912.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096,833,866,602 : 10,920,661,482,436 = 10,920,661,482,436 : x
  2. Step 2: Convert to fraction form
    5,096,833,866,602/10,920,661,482,436 = 10,920,661,482,436/x
  3. Step 3: Cross multiply
    5,096,833,866,602x = 10,920,661,482,436 × 10,920,661,482,436
  4. Step 4: Simplify right side
    5,096,833,866,602x = 119,260,847,213,961,257,192,259,584
  5. Step 5: Solve for x
    x = 119,260,847,213,961,257,192,259,584/5,096,833,866,602
  6. Step 6: Final answer
    x = 23,399,006,193,912.12

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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.