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Finding the Third Proportional to 9,971,020.50 and 21,689,061

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Solution

The third proportional to 9,971,020.50 and 21,689,061 is: 47,178,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971,020.50 : 21,689,061 = 21,689,061 : x
  2. Step 2: Convert to fraction form
    9,971,020.50/21,689,061 = 21,689,061/x
  3. Step 3: Cross multiply
    9,971,020.50x = 21,689,061 × 21,689,061
  4. Step 4: Simplify right side
    9,971,020.50x = 470,415,367,061,721
  5. Step 5: Solve for x
    x = 470,415,367,061,721/9,971,020.50
  6. Step 6: Final answer
    x = 47,178,256.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.