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Finding the Third Proportional to 6,997,877,498.81 and 15,422,145,301.41

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Solution

The third proportional to 6,997,877,498.81 and 15,422,145,301.41 is: 33,987,814,982.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997,877,498.81 : 15,422,145,301.41 = 15,422,145,301.41 : x
  2. Step 2: Convert to fraction form
    6,997,877,498.81/15,422,145,301.41 = 15,422,145,301.41/x
  3. Step 3: Cross multiply
    6,997,877,498.81x = 15,422,145,301.41 × 15,422,145,301.41
  4. Step 4: Simplify right side
    6,997,877,498.81x = 237,842,565,697,679,163,392
  5. Step 5: Solve for x
    x = 237,842,565,697,679,163,392/6,997,877,498.81
  6. Step 6: Final answer
    x = 33,987,814,982.19

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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.