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Finding the Third Proportional to 348,987,946 and 756,138,186

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Solution

The third proportional to 348,987,946 and 756,138,186 is: 1,638,294,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,987,946 : 756,138,186 = 756,138,186 : x
  2. Step 2: Convert to fraction form
    348,987,946/756,138,186 = 756,138,186/x
  3. Step 3: Cross multiply
    348,987,946x = 756,138,186 × 756,138,186
  4. Step 4: Simplify right side
    348,987,946x = 571,744,956,327,370,624
  5. Step 5: Solve for x
    x = 571,744,956,327,370,624/348,987,946
  6. Step 6: Final answer
    x = 1,638,294,281.74

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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.