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Finding the Third Proportional to 27,084,145.50 and 41,984,365.50

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Solution

The third proportional to 27,084,145.50 and 41,984,365.50 is: 65,081,874.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,084,145.50 : 41,984,365.50 = 41,984,365.50 : x
  2. Step 2: Convert to fraction form
    27,084,145.50/41,984,365.50 = 41,984,365.50/x
  3. Step 3: Cross multiply
    27,084,145.50x = 41,984,365.50 × 41,984,365.50
  4. Step 4: Simplify right side
    27,084,145.50x = 1,762,686,946,437,590.25
  5. Step 5: Solve for x
    x = 1,762,686,946,437,590.25/27,084,145.50
  6. Step 6: Final answer
    x = 65,081,874.06

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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.