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Finding the Third Proportional to 8,044,964,508 and 17,319,450,024

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Solution

The third proportional to 8,044,964,508 and 17,319,450,024 is: 37,285,851,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,044,964,508 : 17,319,450,024 = 17,319,450,024 : x
  2. Step 2: Convert to fraction form
    8,044,964,508/17,319,450,024 = 17,319,450,024/x
  3. Step 3: Cross multiply
    8,044,964,508x = 17,319,450,024 × 17,319,450,024
  4. Step 4: Simplify right side
    8,044,964,508x = 299,963,349,133,833,601,024
  5. Step 5: Solve for x
    x = 299,963,349,133,833,601,024/8,044,964,508
  6. Step 6: Final answer
    x = 37,285,851,147.70

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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.