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Finding the Third Proportional to 953,275,968 and 2,057,038,112

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Solution

The third proportional to 953,275,968 and 2,057,038,112 is: 4,438,804,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,275,968 : 2,057,038,112 = 2,057,038,112 : x
  2. Step 2: Convert to fraction form
    953,275,968/2,057,038,112 = 2,057,038,112/x
  3. Step 3: Cross multiply
    953,275,968x = 2,057,038,112 × 2,057,038,112
  4. Step 4: Simplify right side
    953,275,968x = 4,231,405,794,220,524,544
  5. Step 5: Solve for x
    x = 4,231,405,794,220,524,544/953,275,968
  6. Step 6: Final answer
    x = 4,438,804,644.47

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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.