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Finding the Third Proportional to 9,084,829.50 and 13,964,008.50

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Solution

The third proportional to 9,084,829.50 and 13,964,008.50 is: 21,463,642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084,829.50 : 13,964,008.50 = 13,964,008.50 : x
  2. Step 2: Convert to fraction form
    9,084,829.50/13,964,008.50 = 13,964,008.50/x
  3. Step 3: Cross multiply
    9,084,829.50x = 13,964,008.50 × 13,964,008.50
  4. Step 4: Simplify right side
    9,084,829.50x = 194,993,533,388,072.25
  5. Step 5: Solve for x
    x = 194,993,533,388,072.25/9,084,829.50
  6. Step 6: Final answer
    x = 21,463,642.59

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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.