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Finding the Third Proportional to 24,766,000 and 38,269,768

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Solution

The third proportional to 24,766,000 and 38,269,768 is: 59,136,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,766,000 : 38,269,768 = 38,269,768 : x
  2. Step 2: Convert to fraction form
    24,766,000/38,269,768 = 38,269,768/x
  3. Step 3: Cross multiply
    24,766,000x = 38,269,768 × 38,269,768
  4. Step 4: Simplify right side
    24,766,000x = 1,464,575,142,773,824
  5. Step 5: Solve for x
    x = 1,464,575,142,773,824/24,766,000
  6. Step 6: Final answer
    x = 59,136,523.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.