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Finding the Third Proportional to 5,310,865,478 and 11,582,873,698

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Solution

The third proportional to 5,310,865,478 and 11,582,873,698 is: 25,261,977,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310,865,478 : 11,582,873,698 = 11,582,873,698 : x
  2. Step 2: Convert to fraction form
    5,310,865,478/11,582,873,698 = 11,582,873,698/x
  3. Step 3: Cross multiply
    5,310,865,478x = 11,582,873,698 × 11,582,873,698
  4. Step 4: Simplify right side
    5,310,865,478x = 134,162,963,103,820,201,984
  5. Step 5: Solve for x
    x = 134,162,963,103,820,201,984/5,310,865,478
  6. Step 6: Final answer
    x = 25,261,977,291.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.