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Finding the Third Proportional to 10,158,417 and 21,694,518

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Solution

The third proportional to 10,158,417 and 21,694,518 is: 46,331,245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158,417 : 21,694,518 = 21,694,518 : x
  2. Step 2: Convert to fraction form
    10,158,417/21,694,518 = 21,694,518/x
  3. Step 3: Cross multiply
    10,158,417x = 21,694,518 × 21,694,518
  4. Step 4: Simplify right side
    10,158,417x = 470,652,111,252,324
  5. Step 5: Solve for x
    x = 470,652,111,252,324/10,158,417
  6. Step 6: Final answer
    x = 46,331,245.43

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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.