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Finding the Third Proportional to 45,502,942 and 64,385,268

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Solution

The third proportional to 45,502,942 and 64,385,268 is: 91,103,180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,502,942 : 64,385,268 = 64,385,268 : x
  2. Step 2: Convert to fraction form
    45,502,942/64,385,268 = 64,385,268/x
  3. Step 3: Cross multiply
    45,502,942x = 64,385,268 × 64,385,268
  4. Step 4: Simplify right side
    45,502,942x = 4,145,462,735,431,824
  5. Step 5: Solve for x
    x = 4,145,462,735,431,824/45,502,942
  6. Step 6: Final answer
    x = 91,103,180.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.