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Finding the Third Proportional to 36,118,784 and 77,136,016

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Solution

The third proportional to 36,118,784 and 77,136,016 is: 164,733,258.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,118,784 : 77,136,016 = 77,136,016 : x
  2. Step 2: Convert to fraction form
    36,118,784/77,136,016 = 77,136,016/x
  3. Step 3: Cross multiply
    36,118,784x = 77,136,016 × 77,136,016
  4. Step 4: Simplify right side
    36,118,784x = 5,949,964,964,352,256
  5. Step 5: Solve for x
    x = 5,949,964,964,352,256/36,118,784
  6. Step 6: Final answer
    x = 164,733,258.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.