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Finding the Third Proportional to 577,404,576 and 1,347,323,904

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Solution

The third proportional to 577,404,576 and 1,347,323,904 is: 3,143,864,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,404,576 : 1,347,323,904 = 1,347,323,904 : x
  2. Step 2: Convert to fraction form
    577,404,576/1,347,323,904 = 1,347,323,904/x
  3. Step 3: Cross multiply
    577,404,576x = 1,347,323,904 × 1,347,323,904
  4. Step 4: Simplify right side
    577,404,576x = 1,815,281,702,289,801,216
  5. Step 5: Solve for x
    x = 1,815,281,702,289,801,216/577,404,576
  6. Step 6: Final answer
    x = 3,143,864,419.75

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.