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Finding the Third Proportional to 5,117,706 and 10,944,000

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Solution

The third proportional to 5,117,706 and 10,944,000 is: 23,403,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117,706 : 10,944,000 = 10,944,000 : x
  2. Step 2: Convert to fraction form
    5,117,706/10,944,000 = 10,944,000/x
  3. Step 3: Cross multiply
    5,117,706x = 10,944,000 × 10,944,000
  4. Step 4: Simplify right side
    5,117,706x = 119,771,136,000,000
  5. Step 5: Solve for x
    x = 119,771,136,000,000/5,117,706
  6. Step 6: Final answer
    x = 23,403,285.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.