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Finding the Third Proportional to 13,964,823 and 21,796,074

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Solution

The third proportional to 13,964,823 and 21,796,074 is: 34,018,966.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964,823 : 21,796,074 = 21,796,074 : x
  2. Step 2: Convert to fraction form
    13,964,823/21,796,074 = 21,796,074/x
  3. Step 3: Cross multiply
    13,964,823x = 21,796,074 × 21,796,074
  4. Step 4: Simplify right side
    13,964,823x = 475,068,841,813,476
  5. Step 5: Solve for x
    x = 475,068,841,813,476/13,964,823
  6. Step 6: Final answer
    x = 34,018,966.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.