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Finding the Third Proportional to 12,877,296 and 27,289,864.50

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Solution

The third proportional to 12,877,296 and 27,289,864.50 is: 57,833,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877,296 : 27,289,864.50 = 27,289,864.50 : x
  2. Step 2: Convert to fraction form
    12,877,296/27,289,864.50 = 27,289,864.50/x
  3. Step 3: Cross multiply
    12,877,296x = 27,289,864.50 × 27,289,864.50
  4. Step 4: Simplify right side
    12,877,296x = 744,736,704,428,360.25
  5. Step 5: Solve for x
    x = 744,736,704,428,360.25/12,877,296
  6. Step 6: Final answer
    x = 57,833,314.11

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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.