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Finding the Third Proportional to 31,786,075.88 and 68,652,795.75

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Solution

The third proportional to 31,786,075.88 and 68,652,795.75 is: 148,278,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,786,075.88 : 68,652,795.75 = 68,652,795.75 : x
  2. Step 2: Convert to fraction form
    31,786,075.88/68,652,795.75 = 68,652,795.75/x
  3. Step 3: Cross multiply
    31,786,075.88x = 68,652,795.75 × 68,652,795.75
  4. Step 4: Simplify right side
    31,786,075.88x = 4,713,206,364,291,218
  5. Step 5: Solve for x
    x = 4,713,206,364,291,218/31,786,075.88
  6. Step 6: Final answer
    x = 148,278,962.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.