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Finding the Third Proportional to 4,157,081,617 and 8,608,830,593

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Solution

The third proportional to 4,157,081,617 and 8,608,830,593 is: 17,827,882,877.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157,081,617 : 8,608,830,593 = 8,608,830,593 : x
  2. Step 2: Convert to fraction form
    4,157,081,617/8,608,830,593 = 8,608,830,593/x
  3. Step 3: Cross multiply
    4,157,081,617x = 8,608,830,593 × 8,608,830,593
  4. Step 4: Simplify right side
    4,157,081,617x = 74,111,964,178,972,737,536
  5. Step 5: Solve for x
    x = 74,111,964,178,972,737,536/4,157,081,617
  6. Step 6: Final answer
    x = 17,827,882,877.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.