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Finding the Third Proportional to 11,786,473 and 17,607,121

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Solution

The third proportional to 11,786,473 and 17,607,121 is: 26,302,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786,473 : 17,607,121 = 17,607,121 : x
  2. Step 2: Convert to fraction form
    11,786,473/17,607,121 = 17,607,121/x
  3. Step 3: Cross multiply
    11,786,473x = 17,607,121 × 17,607,121
  4. Step 4: Simplify right side
    11,786,473x = 310,010,709,908,641
  5. Step 5: Solve for x
    x = 310,010,709,908,641/11,786,473
  6. Step 6: Final answer
    x = 26,302,245.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.