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Finding the Third Proportional to 6,835,630,272 and 14,033,637,696

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Solution

The third proportional to 6,835,630,272 and 14,033,637,696 is: 28,811,240,389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835,630,272 : 14,033,637,696 = 14,033,637,696 : x
  2. Step 2: Convert to fraction form
    6,835,630,272/14,033,637,696 = 14,033,637,696/x
  3. Step 3: Cross multiply
    6,835,630,272x = 14,033,637,696 × 14,033,637,696
  4. Step 4: Simplify right side
    6,835,630,272x = 196,942,986,982,592,184,320
  5. Step 5: Solve for x
    x = 196,942,986,982,592,184,320/6,835,630,272
  6. Step 6: Final answer
    x = 28,811,240,389.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.