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Finding the Third Proportional to 66,007,948 and 143,375,256

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Solution

The third proportional to 66,007,948 and 143,375,256 is: 311,424,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,007,948 : 143,375,256 = 143,375,256 : x
  2. Step 2: Convert to fraction form
    66,007,948/143,375,256 = 143,375,256/x
  3. Step 3: Cross multiply
    66,007,948x = 143,375,256 × 143,375,256
  4. Step 4: Simplify right side
    66,007,948x = 20,556,464,033,065,536
  5. Step 5: Solve for x
    x = 20,556,464,033,065,536/66,007,948
  6. Step 6: Final answer
    x = 311,424,073.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.