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Finding the Third Proportional to 6,644,049,658 and 15,683,914,336

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Solution

The third proportional to 6,644,049,658 and 15,683,914,336 is: 37,023,379,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644,049,658 : 15,683,914,336 = 15,683,914,336 : x
  2. Step 2: Convert to fraction form
    6,644,049,658/15,683,914,336 = 15,683,914,336/x
  3. Step 3: Cross multiply
    6,644,049,658x = 15,683,914,336 × 15,683,914,336
  4. Step 4: Simplify right side
    6,644,049,658x = 245,985,168,898,986,311,680
  5. Step 5: Solve for x
    x = 245,985,168,898,986,311,680/6,644,049,658
  6. Step 6: Final answer
    x = 37,023,379,047.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.