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Finding the Third Proportional to 7,505,464 and 16,387,280

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Solution

The third proportional to 7,505,464 and 16,387,280 is: 35,779,659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505,464 : 16,387,280 = 16,387,280 : x
  2. Step 2: Convert to fraction form
    7,505,464/16,387,280 = 16,387,280/x
  3. Step 3: Cross multiply
    7,505,464x = 16,387,280 × 16,387,280
  4. Step 4: Simplify right side
    7,505,464x = 268,542,945,798,400
  5. Step 5: Solve for x
    x = 268,542,945,798,400/7,505,464
  6. Step 6: Final answer
    x = 35,779,659.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.