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Finding the Third Proportional to 4,502,056 and 9,857,944

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Solution

The third proportional to 4,502,056 and 9,857,944 is: 21,585,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502,056 : 9,857,944 = 9,857,944 : x
  2. Step 2: Convert to fraction form
    4,502,056/9,857,944 = 9,857,944/x
  3. Step 3: Cross multiply
    4,502,056x = 9,857,944 × 9,857,944
  4. Step 4: Simplify right side
    4,502,056x = 97,179,059,907,136
  5. Step 5: Solve for x
    x = 97,179,059,907,136/4,502,056
  6. Step 6: Final answer
    x = 21,585,484.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.