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Finding the Third Proportional to 12,883,083 and 27,257,146.50

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Solution

The third proportional to 12,883,083 and 27,257,146.50 is: 57,668,807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883,083 : 27,257,146.50 = 27,257,146.50 : x
  2. Step 2: Convert to fraction form
    12,883,083/27,257,146.50 = 27,257,146.50/x
  3. Step 3: Cross multiply
    12,883,083x = 27,257,146.50 × 27,257,146.50
  4. Step 4: Simplify right side
    12,883,083x = 742,952,035,322,462.25
  5. Step 5: Solve for x
    x = 742,952,035,322,462.25/12,883,083
  6. Step 6: Final answer
    x = 57,668,807.64

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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.