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Finding the Third Proportional to 2,093,936,589 and 4,536,838,825.88

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Solution

The third proportional to 2,093,936,589 and 4,536,838,825.88 is: 9,829,765,925.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093,936,589 : 4,536,838,825.88 = 4,536,838,825.88 : x
  2. Step 2: Convert to fraction form
    2,093,936,589/4,536,838,825.88 = 4,536,838,825.88/x
  3. Step 3: Cross multiply
    2,093,936,589x = 4,536,838,825.88 × 4,536,838,825.88
  4. Step 4: Simplify right side
    2,093,936,589x = 20,582,906,531,966,849,024
  5. Step 5: Solve for x
    x = 20,582,906,531,966,849,024/2,093,936,589
  6. Step 6: Final answer
    x = 9,829,765,925.15

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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.