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Finding the Third Proportional to 6,997,877,501 and 15,422,145,306

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Solution

The third proportional to 6,997,877,501 and 15,422,145,306 is: 33,987,814,991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997,877,501 : 15,422,145,306 = 15,422,145,306 : x
  2. Step 2: Convert to fraction form
    6,997,877,501/15,422,145,306 = 15,422,145,306/x
  3. Step 3: Cross multiply
    6,997,877,501x = 15,422,145,306 × 15,422,145,306
  4. Step 4: Simplify right side
    6,997,877,501x = 237,842,565,839,377,825,792
  5. Step 5: Solve for x
    x = 237,842,565,839,377,825,792/6,997,877,501
  6. Step 6: Final answer
    x = 33,987,814,991.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.