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Finding the Third Proportional to 9,896,056 and 21,805,122

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Solution

The third proportional to 9,896,056 and 21,805,122 is: 48,045,741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896,056 : 21,805,122 = 21,805,122 : x
  2. Step 2: Convert to fraction form
    9,896,056/21,805,122 = 21,805,122/x
  3. Step 3: Cross multiply
    9,896,056x = 21,805,122 × 21,805,122
  4. Step 4: Simplify right side
    9,896,056x = 475,463,345,434,884
  5. Step 5: Solve for x
    x = 475,463,345,434,884/9,896,056
  6. Step 6: Final answer
    x = 48,045,741.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.