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Finding the Third Proportional to 12,762,927 and 27,319,882.50

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Solution

The third proportional to 12,762,927 and 27,319,882.50 is: 58,480,000.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762,927 : 27,319,882.50 = 27,319,882.50 : x
  2. Step 2: Convert to fraction form
    12,762,927/27,319,882.50 = 27,319,882.50/x
  3. Step 3: Cross multiply
    12,762,927x = 27,319,882.50 × 27,319,882.50
  4. Step 4: Simplify right side
    12,762,927x = 746,375,979,813,806.25
  5. Step 5: Solve for x
    x = 746,375,979,813,806.25/12,762,927
  6. Step 6: Final answer
    x = 58,480,000.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.