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Finding the Third Proportional to 7,505,856 and 16,388,280

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Solution

The third proportional to 7,505,856 and 16,388,280 is: 35,782,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505,856 : 16,388,280 = 16,388,280 : x
  2. Step 2: Convert to fraction form
    7,505,856/16,388,280 = 16,388,280/x
  3. Step 3: Cross multiply
    7,505,856x = 16,388,280 × 16,388,280
  4. Step 4: Simplify right side
    7,505,856x = 268,575,721,358,400
  5. Step 5: Solve for x
    x = 268,575,721,358,400/7,505,856
  6. Step 6: Final answer
    x = 35,782,157.47

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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.