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Finding the Third Proportional to 367,762,576 and 780,355,760

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Solution

The third proportional to 367,762,576 and 780,355,760 is: 1,655,837,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,762,576 : 780,355,760 = 780,355,760 : x
  2. Step 2: Convert to fraction form
    367,762,576/780,355,760 = 780,355,760/x
  3. Step 3: Cross multiply
    367,762,576x = 780,355,760 × 780,355,760
  4. Step 4: Simplify right side
    367,762,576x = 608,955,112,165,177,600
  5. Step 5: Solve for x
    x = 608,955,112,165,177,600/367,762,576
  6. Step 6: Final answer
    x = 1,655,837,629.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.