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Finding the Third Proportional to 9,136,946 and 20,316,327

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Solution

The third proportional to 9,136,946 and 20,316,327 is: 45,174,081.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136,946 : 20,316,327 = 20,316,327 : x
  2. Step 2: Convert to fraction form
    9,136,946/20,316,327 = 20,316,327/x
  3. Step 3: Cross multiply
    9,136,946x = 20,316,327 × 20,316,327
  4. Step 4: Simplify right side
    9,136,946x = 412,753,142,770,929
  5. Step 5: Solve for x
    x = 412,753,142,770,929/9,136,946
  6. Step 6: Final answer
    x = 45,174,081.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.