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Finding the Third Proportional to 10,414,495 and 21,336,374

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Solution

The third proportional to 10,414,495 and 21,336,374 is: 43,712,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414,495 : 21,336,374 = 21,336,374 : x
  2. Step 2: Convert to fraction form
    10,414,495/21,336,374 = 21,336,374/x
  3. Step 3: Cross multiply
    10,414,495x = 21,336,374 × 21,336,374
  4. Step 4: Simplify right side
    10,414,495x = 455,240,855,467,876
  5. Step 5: Solve for x
    x = 455,240,855,467,876/10,414,495
  6. Step 6: Final answer
    x = 43,712,235.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.