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Finding the Third Proportional to 769,846,143.75 and 1,112,294,975.25

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Solution

The third proportional to 769,846,143.75 and 1,112,294,975.25 is: 1,607,074,507.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,846,143.75 : 1,112,294,975.25 = 1,112,294,975.25 : x
  2. Step 2: Convert to fraction form
    769,846,143.75/1,112,294,975.25 = 1,112,294,975.25/x
  3. Step 3: Cross multiply
    769,846,143.75x = 1,112,294,975.25 × 1,112,294,975.25
  4. Step 4: Simplify right side
    769,846,143.75x = 1,237,200,111,966,398,208
  5. Step 5: Solve for x
    x = 1,237,200,111,966,398,208/769,846,143.75
  6. Step 6: Final answer
    x = 1,607,074,507.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.