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Finding the Third Proportional to 13,071,936 and 19,168,416

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Solution

The third proportional to 13,071,936 and 19,168,416 is: 28,108,167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071,936 : 19,168,416 = 19,168,416 : x
  2. Step 2: Convert to fraction form
    13,071,936/19,168,416 = 19,168,416/x
  3. Step 3: Cross multiply
    13,071,936x = 19,168,416 × 19,168,416
  4. Step 4: Simplify right side
    13,071,936x = 367,428,171,949,056
  5. Step 5: Solve for x
    x = 367,428,171,949,056/13,071,936
  6. Step 6: Final answer
    x = 28,108,167.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.