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Finding the Third Proportional to 9,564,293 and 20,493,056

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Solution

The third proportional to 9,564,293 and 20,493,056 is: 43,909,711.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564,293 : 20,493,056 = 20,493,056 : x
  2. Step 2: Convert to fraction form
    9,564,293/20,493,056 = 20,493,056/x
  3. Step 3: Cross multiply
    9,564,293x = 20,493,056 × 20,493,056
  4. Step 4: Simplify right side
    9,564,293x = 419,965,344,219,136
  5. Step 5: Solve for x
    x = 419,965,344,219,136/9,564,293
  6. Step 6: Final answer
    x = 43,909,711.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.