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Finding the Third Proportional to 12,632,592 and 27,784,038

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Solution

The third proportional to 12,632,592 and 27,784,038 is: 61,108,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632,592 : 27,784,038 = 27,784,038 : x
  2. Step 2: Convert to fraction form
    12,632,592/27,784,038 = 27,784,038/x
  3. Step 3: Cross multiply
    12,632,592x = 27,784,038 × 27,784,038
  4. Step 4: Simplify right side
    12,632,592x = 771,952,767,585,444
  5. Step 5: Solve for x
    x = 771,952,767,585,444/12,632,592
  6. Step 6: Final answer
    x = 61,108,026.57

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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.