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Finding the Third Proportional to 17,523,468 and 38,350,378

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Solution

The third proportional to 17,523,468 and 38,350,378 is: 83,930,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,523,468 : 38,350,378 = 38,350,378 : x
  2. Step 2: Convert to fraction form
    17,523,468/38,350,378 = 38,350,378/x
  3. Step 3: Cross multiply
    17,523,468x = 38,350,378 × 38,350,378
  4. Step 4: Simplify right side
    17,523,468x = 1,470,751,492,742,884
  5. Step 5: Solve for x
    x = 1,470,751,492,742,884/17,523,468
  6. Step 6: Final answer
    x = 83,930,389.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.