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Finding the Third Proportional to 21,936,464 and 47,533,951

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Solution

The third proportional to 21,936,464 and 47,533,951 is: 103,000,943.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,936,464 : 47,533,951 = 47,533,951 : x
  2. Step 2: Convert to fraction form
    21,936,464/47,533,951 = 47,533,951/x
  3. Step 3: Cross multiply
    21,936,464x = 47,533,951 × 47,533,951
  4. Step 4: Simplify right side
    21,936,464x = 2,259,476,497,670,401
  5. Step 5: Solve for x
    x = 2,259,476,497,670,401/21,936,464
  6. Step 6: Final answer
    x = 103,000,943.89

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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.