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Finding the Third Proportional to 65,840,378 and 144,713,452

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Solution

The third proportional to 65,840,378 and 144,713,452 is: 318,072,037.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,840,378 : 144,713,452 = 144,713,452 : x
  2. Step 2: Convert to fraction form
    65,840,378/144,713,452 = 144,713,452/x
  3. Step 3: Cross multiply
    65,840,378x = 144,713,452 × 144,713,452
  4. Step 4: Simplify right side
    65,840,378x = 20,941,983,189,756,304
  5. Step 5: Solve for x
    x = 20,941,983,189,756,304/65,840,378
  6. Step 6: Final answer
    x = 318,072,037.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.