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Finding the Third Proportional to 10,919,378 and 17,127,723

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Solution

The third proportional to 10,919,378 and 17,127,723 is: 26,865,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919,378 : 17,127,723 = 17,127,723 : x
  2. Step 2: Convert to fraction form
    10,919,378/17,127,723 = 17,127,723/x
  3. Step 3: Cross multiply
    10,919,378x = 17,127,723 × 17,127,723
  4. Step 4: Simplify right side
    10,919,378x = 293,358,895,164,729
  5. Step 5: Solve for x
    x = 293,358,895,164,729/10,919,378
  6. Step 6: Final answer
    x = 26,865,897.96

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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.