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Finding the Third Proportional to 12,324,294 and 26,597,178

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Solution

The third proportional to 12,324,294 and 26,597,178 is: 57,399,626.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324,294 : 26,597,178 = 26,597,178 : x
  2. Step 2: Convert to fraction form
    12,324,294/26,597,178 = 26,597,178/x
  3. Step 3: Cross multiply
    12,324,294x = 26,597,178 × 26,597,178
  4. Step 4: Simplify right side
    12,324,294x = 707,409,877,563,684
  5. Step 5: Solve for x
    x = 707,409,877,563,684/12,324,294
  6. Step 6: Final answer
    x = 57,399,626.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.