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Finding the Third Proportional to 12,742,278.75 and 27,723,721.50

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Solution

The third proportional to 12,742,278.75 and 27,723,721.50 is: 60,319,252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742,278.75 : 27,723,721.50 = 27,723,721.50 : x
  2. Step 2: Convert to fraction form
    12,742,278.75/27,723,721.50 = 27,723,721.50/x
  3. Step 3: Cross multiply
    12,742,278.75x = 27,723,721.50 × 27,723,721.50
  4. Step 4: Simplify right side
    12,742,278.75x = 768,604,733,809,562.25
  5. Step 5: Solve for x
    x = 768,604,733,809,562.25/12,742,278.75
  6. Step 6: Final answer
    x = 60,319,252.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.