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Finding the Third Proportional to 27,523,830 and 41,283,075.75

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Solution

The third proportional to 27,523,830 and 41,283,075.75 is: 61,920,610.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,523,830 : 41,283,075.75 = 41,283,075.75 : x
  2. Step 2: Convert to fraction form
    27,523,830/41,283,075.75 = 41,283,075.75/x
  3. Step 3: Cross multiply
    27,523,830x = 41,283,075.75 × 41,283,075.75
  4. Step 4: Simplify right side
    27,523,830x = 1,704,292,343,380,238
  5. Step 5: Solve for x
    x = 1,704,292,343,380,238/27,523,830
  6. Step 6: Final answer
    x = 61,920,610.01

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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.