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Finding the Third Proportional to 6,159,344 and 12,708,946

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Solution

The third proportional to 6,159,344 and 12,708,946 is: 26,223,134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159,344 : 12,708,946 = 12,708,946 : x
  2. Step 2: Convert to fraction form
    6,159,344/12,708,946 = 12,708,946/x
  3. Step 3: Cross multiply
    6,159,344x = 12,708,946 × 12,708,946
  4. Step 4: Simplify right side
    6,159,344x = 161,517,308,430,916
  5. Step 5: Solve for x
    x = 161,517,308,430,916/6,159,344
  6. Step 6: Final answer
    x = 26,223,134.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.