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Finding the Third Proportional to 4,512,144 and 9,851,127

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Solution

The third proportional to 4,512,144 and 9,851,127 is: 21,507,448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512,144 : 9,851,127 = 9,851,127 : x
  2. Step 2: Convert to fraction form
    4,512,144/9,851,127 = 9,851,127/x
  3. Step 3: Cross multiply
    4,512,144x = 9,851,127 × 9,851,127
  4. Step 4: Simplify right side
    4,512,144x = 97,044,703,170,129
  5. Step 5: Solve for x
    x = 97,044,703,170,129/4,512,144
  6. Step 6: Final answer
    x = 21,507,448.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.