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Finding the Third Proportional to 65,697,372 and 141,782,034

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Solution

The third proportional to 65,697,372 and 141,782,034 is: 305,980,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,697,372 : 141,782,034 = 141,782,034 : x
  2. Step 2: Convert to fraction form
    65,697,372/141,782,034 = 141,782,034/x
  3. Step 3: Cross multiply
    65,697,372x = 141,782,034 × 141,782,034
  4. Step 4: Simplify right side
    65,697,372x = 20,102,145,165,177,156
  5. Step 5: Solve for x
    x = 20,102,145,165,177,156/65,697,372
  6. Step 6: Final answer
    x = 305,980,963.21

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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.