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Finding the Third Proportional to 348,987,943.13 and 756,138,179.25

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Solution

The third proportional to 348,987,943.13 and 756,138,179.25 is: 1,638,294,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,987,943.13 : 756,138,179.25 = 756,138,179.25 : x
  2. Step 2: Convert to fraction form
    348,987,943.13/756,138,179.25 = 756,138,179.25/x
  3. Step 3: Cross multiply
    348,987,943.13x = 756,138,179.25 × 756,138,179.25
  4. Step 4: Simplify right side
    348,987,943.13x = 571,744,946,119,505,152
  5. Step 5: Solve for x
    x = 571,744,946,119,505,152/348,987,943.13
  6. Step 6: Final answer
    x = 1,638,294,265.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.