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Finding the Third Proportional to 4,268,487 and 6,560,194.50

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Solution

The third proportional to 4,268,487 and 6,560,194.50 is: 10,082,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268,487 : 6,560,194.50 = 6,560,194.50 : x
  2. Step 2: Convert to fraction form
    4,268,487/6,560,194.50 = 6,560,194.50/x
  3. Step 3: Cross multiply
    4,268,487x = 6,560,194.50 × 6,560,194.50
  4. Step 4: Simplify right side
    4,268,487x = 43,036,151,877,830.25
  5. Step 5: Solve for x
    x = 43,036,151,877,830.25/4,268,487
  6. Step 6: Final answer
    x = 10,082,296.58

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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.