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Finding the Third Proportional to 2,616,967,749 and 3,927,367,449

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Solution

The third proportional to 2,616,967,749 and 3,927,367,449 is: 5,893,926,314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616,967,749 : 3,927,367,449 = 3,927,367,449 : x
  2. Step 2: Convert to fraction form
    2,616,967,749/3,927,367,449 = 3,927,367,449/x
  3. Step 3: Cross multiply
    2,616,967,749x = 3,927,367,449 × 3,927,367,449
  4. Step 4: Simplify right side
    2,616,967,749x = 15,424,215,079,464,767,488
  5. Step 5: Solve for x
    x = 15,424,215,079,464,767,488/2,616,967,749
  6. Step 6: Final answer
    x = 5,893,926,314.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.