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Finding the Third Proportional to 10,313,460 and 21,856,311

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Solution

The third proportional to 10,313,460 and 21,856,311 is: 46,317,950.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313,460 : 21,856,311 = 21,856,311 : x
  2. Step 2: Convert to fraction form
    10,313,460/21,856,311 = 21,856,311/x
  3. Step 3: Cross multiply
    10,313,460x = 21,856,311 × 21,856,311
  4. Step 4: Simplify right side
    10,313,460x = 477,698,330,528,721
  5. Step 5: Solve for x
    x = 477,698,330,528,721/10,313,460
  6. Step 6: Final answer
    x = 46,317,950.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.