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Finding the Third Proportional to 7,255,092 and 17,102,511

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Solution

The third proportional to 7,255,092 and 17,102,511 is: 40,315,943.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,255,092 : 17,102,511 = 17,102,511 : x
  2. Step 2: Convert to fraction form
    7,255,092/17,102,511 = 17,102,511/x
  3. Step 3: Cross multiply
    7,255,092x = 17,102,511 × 17,102,511
  4. Step 4: Simplify right side
    7,255,092x = 292,495,882,505,121
  5. Step 5: Solve for x
    x = 292,495,882,505,121/7,255,092
  6. Step 6: Final answer
    x = 40,315,943.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.