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Finding the Third Proportional to 348,987,964 and 756,138,224

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Solution

The third proportional to 348,987,964 and 756,138,224 is: 1,638,294,361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,987,964 : 756,138,224 = 756,138,224 : x
  2. Step 2: Convert to fraction form
    348,987,964/756,138,224 = 756,138,224/x
  3. Step 3: Cross multiply
    348,987,964x = 756,138,224 × 756,138,224
  4. Step 4: Simplify right side
    348,987,964x = 571,745,013,793,874,176
  5. Step 5: Solve for x
    x = 571,745,013,793,874,176/348,987,964
  6. Step 6: Final answer
    x = 1,638,294,361.90

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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.