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Finding the Third Proportional to 10,588,596 and 22,448,600

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Solution

The third proportional to 10,588,596 and 22,448,600 is: 47,592,678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588,596 : 22,448,600 = 22,448,600 : x
  2. Step 2: Convert to fraction form
    10,588,596/22,448,600 = 22,448,600/x
  3. Step 3: Cross multiply
    10,588,596x = 22,448,600 × 22,448,600
  4. Step 4: Simplify right side
    10,588,596x = 503,939,641,960,000
  5. Step 5: Solve for x
    x = 503,939,641,960,000/10,588,596
  6. Step 6: Final answer
    x = 47,592,678.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.