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Finding the Third Proportional to 16,614,264,171.66 and 35,748,388,297.33

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Solution

The third proportional to 16,614,264,171.66 and 35,748,388,297.33 is: 76,918,679,795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,614,264,171.66 : 35,748,388,297.33 = 35,748,388,297.33 : x
  2. Step 2: Convert to fraction form
    16,614,264,171.66/35,748,388,297.33 = 35,748,388,297.33/x
  3. Step 3: Cross multiply
    16,614,264,171.66x = 35,748,388,297.33 × 35,748,388,297.33
  4. Step 4: Simplify right side
    16,614,264,171.66x = 1,277,947,265,856,966,492,160
  5. Step 5: Solve for x
    x = 1,277,947,265,856,966,492,160/16,614,264,171.66
  6. Step 6: Final answer
    x = 76,918,679,795.47

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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.