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Finding the Third Proportional to 27,523,824.75 and 41,283,066

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Solution

The third proportional to 27,523,824.75 and 41,283,066 is: 61,920,592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,523,824.75 : 41,283,066 = 41,283,066 : x
  2. Step 2: Convert to fraction form
    27,523,824.75/41,283,066 = 41,283,066/x
  3. Step 3: Cross multiply
    27,523,824.75x = 41,283,066 × 41,283,066
  4. Step 4: Simplify right side
    27,523,824.75x = 1,704,291,538,360,356
  5. Step 5: Solve for x
    x = 1,704,291,538,360,356/27,523,824.75
  6. Step 6: Final answer
    x = 61,920,592.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.