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Finding the Third Proportional to 17,989,768 and 27,634,482

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Solution

The third proportional to 17,989,768 and 27,634,482 is: 42,449,941.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,989,768 : 27,634,482 = 27,634,482 : x
  2. Step 2: Convert to fraction form
    17,989,768/27,634,482 = 27,634,482/x
  3. Step 3: Cross multiply
    17,989,768x = 27,634,482 × 27,634,482
  4. Step 4: Simplify right side
    17,989,768x = 763,664,595,408,324
  5. Step 5: Solve for x
    x = 763,664,595,408,324/17,989,768
  6. Step 6: Final answer
    x = 42,449,941.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.