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Finding the Third Proportional to 468,439,747.31 and 727,677,372.94

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Solution

The third proportional to 468,439,747.31 and 727,677,372.94 is: 1,130,378,799.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,439,747.31 : 727,677,372.94 = 727,677,372.94 : x
  2. Step 2: Convert to fraction form
    468,439,747.31/727,677,372.94 = 727,677,372.94/x
  3. Step 3: Cross multiply
    468,439,747.31x = 727,677,372.94 × 727,677,372.94
  4. Step 4: Simplify right side
    468,439,747.31x = 529,514,359,085,221,440
  5. Step 5: Solve for x
    x = 529,514,359,085,221,440/468,439,747.31
  6. Step 6: Final answer
    x = 1,130,378,799.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.