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Finding the Third Proportional to 34,716,109 and 47,284,968

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Solution

The third proportional to 34,716,109 and 47,284,968 is: 64,404,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,716,109 : 47,284,968 = 47,284,968 : x
  2. Step 2: Convert to fraction form
    34,716,109/47,284,968 = 47,284,968/x
  3. Step 3: Cross multiply
    34,716,109x = 47,284,968 × 47,284,968
  4. Step 4: Simplify right side
    34,716,109x = 2,235,868,198,761,024
  5. Step 5: Solve for x
    x = 2,235,868,198,761,024/34,716,109
  6. Step 6: Final answer
    x = 64,404,343.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.