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Finding the Third Proportional to 806,335,044,338 and 1,727,682,771,724

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Solution

The third proportional to 806,335,044,338 and 1,727,682,771,724 is: 3,701,795,898,208.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,335,044,338 : 1,727,682,771,724 = 1,727,682,771,724 : x
  2. Step 2: Convert to fraction form
    806,335,044,338/1,727,682,771,724 = 1,727,682,771,724/x
  3. Step 3: Cross multiply
    806,335,044,338x = 1,727,682,771,724 × 1,727,682,771,724
  4. Step 4: Simplify right side
    806,335,044,338x = 2,984,887,759,711,923,091,800,064
  5. Step 5: Solve for x
    x = 2,984,887,759,711,923,091,800,064/806,335,044,338
  6. Step 6: Final answer
    x = 3,701,795,898,208.18

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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.