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Finding the Third Proportional to 7,713,470 and 16,940,056

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Solution

The third proportional to 7,713,470 and 16,940,056 is: 37,203,165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713,470 : 16,940,056 = 16,940,056 : x
  2. Step 2: Convert to fraction form
    7,713,470/16,940,056 = 16,940,056/x
  3. Step 3: Cross multiply
    7,713,470x = 16,940,056 × 16,940,056
  4. Step 4: Simplify right side
    7,713,470x = 286,965,497,283,136
  5. Step 5: Solve for x
    x = 286,965,497,283,136/7,713,470
  6. Step 6: Final answer
    x = 37,203,165.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.