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Finding the Third Proportional to 7,371,967 and 11,539,206

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Solution

The third proportional to 7,371,967 and 11,539,206 is: 18,062,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,371,967 : 11,539,206 = 11,539,206 : x
  2. Step 2: Convert to fraction form
    7,371,967/11,539,206 = 11,539,206/x
  3. Step 3: Cross multiply
    7,371,967x = 11,539,206 × 11,539,206
  4. Step 4: Simplify right side
    7,371,967x = 133,153,275,110,436
  5. Step 5: Solve for x
    x = 133,153,275,110,436/7,371,967
  6. Step 6: Final answer
    x = 18,062,109.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.