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Finding the Third Proportional to 5,153,052 and 11,194,026

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Solution

The third proportional to 5,153,052 and 11,194,026 is: 24,316,893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153,052 : 11,194,026 = 11,194,026 : x
  2. Step 2: Convert to fraction form
    5,153,052/11,194,026 = 11,194,026/x
  3. Step 3: Cross multiply
    5,153,052x = 11,194,026 × 11,194,026
  4. Step 4: Simplify right side
    5,153,052x = 125,306,218,088,676
  5. Step 5: Solve for x
    x = 125,306,218,088,676/5,153,052
  6. Step 6: Final answer
    x = 24,316,893.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.