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Finding the Third Proportional to 27,465,075 and 42,489,056.25

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Solution

The third proportional to 27,465,075 and 42,489,056.25 is: 65,731,475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,465,075 : 42,489,056.25 = 42,489,056.25 : x
  2. Step 2: Convert to fraction form
    27,465,075/42,489,056.25 = 42,489,056.25/x
  3. Step 3: Cross multiply
    27,465,075x = 42,489,056.25 × 42,489,056.25
  4. Step 4: Simplify right side
    27,465,075x = 1,805,319,901,015,664
  5. Step 5: Solve for x
    x = 1,805,319,901,015,664/27,465,075
  6. Step 6: Final answer
    x = 65,731,475.37

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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.