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Finding the Third Proportional to 8,044,964,496 and 17,319,450,000

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Solution

The third proportional to 8,044,964,496 and 17,319,450,000 is: 37,285,851,099.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,044,964,496 : 17,319,450,000 = 17,319,450,000 : x
  2. Step 2: Convert to fraction form
    8,044,964,496/17,319,450,000 = 17,319,450,000/x
  3. Step 3: Cross multiply
    8,044,964,496x = 17,319,450,000 × 17,319,450,000
  4. Step 4: Simplify right side
    8,044,964,496x = 299,963,348,302,500,003,840
  5. Step 5: Solve for x
    x = 299,963,348,302,500,003,840/8,044,964,496
  6. Step 6: Final answer
    x = 37,285,851,099.98

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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.