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Finding the Third Proportional to 6,053,820 and 13,170,516

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Solution

The third proportional to 6,053,820 and 13,170,516 is: 28,653,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,053,820 : 13,170,516 = 13,170,516 : x
  2. Step 2: Convert to fraction form
    6,053,820/13,170,516 = 13,170,516/x
  3. Step 3: Cross multiply
    6,053,820x = 13,170,516 × 13,170,516
  4. Step 4: Simplify right side
    6,053,820x = 173,462,491,706,256
  5. Step 5: Solve for x
    x = 173,462,491,706,256/6,053,820
  6. Step 6: Final answer
    x = 28,653,394.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.