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Finding the Third Proportional to 8,044,964,498 and 17,319,450,004

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Solution

The third proportional to 8,044,964,498 and 17,319,450,004 is: 37,285,851,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,044,964,498 : 17,319,450,004 = 17,319,450,004 : x
  2. Step 2: Convert to fraction form
    8,044,964,498/17,319,450,004 = 17,319,450,004/x
  3. Step 3: Cross multiply
    8,044,964,498x = 17,319,450,004 × 17,319,450,004
  4. Step 4: Simplify right side
    8,044,964,498x = 299,963,348,441,055,625,216
  5. Step 5: Solve for x
    x = 299,963,348,441,055,625,216/8,044,964,498
  6. Step 6: Final answer
    x = 37,285,851,107.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.