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Finding the Third Proportional to 4,507,600 and 10,023,056

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Solution

The third proportional to 4,507,600 and 10,023,056 is: 22,287,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507,600 : 10,023,056 = 10,023,056 : x
  2. Step 2: Convert to fraction form
    4,507,600/10,023,056 = 10,023,056/x
  3. Step 3: Cross multiply
    4,507,600x = 10,023,056 × 10,023,056
  4. Step 4: Simplify right side
    4,507,600x = 100,461,651,579,136
  5. Step 5: Solve for x
    x = 100,461,651,579,136/4,507,600
  6. Step 6: Final answer
    x = 22,287,170.91

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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.