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Finding the Third Proportional to 30,100,977 and 65,952,666

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Solution

The third proportional to 30,100,977 and 65,952,666 is: 144,505,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,100,977 : 65,952,666 = 65,952,666 : x
  2. Step 2: Convert to fraction form
    30,100,977/65,952,666 = 65,952,666/x
  3. Step 3: Cross multiply
    30,100,977x = 65,952,666 × 65,952,666
  4. Step 4: Simplify right side
    30,100,977x = 4,349,754,152,507,556
  5. Step 5: Solve for x
    x = 4,349,754,152,507,556/30,100,977
  6. Step 6: Final answer
    x = 144,505,414.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.