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Finding the Third Proportional to 8,315,683,464 and 18,490,622,622

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Solution

The third proportional to 8,315,683,464 and 18,490,622,622 is: 41,115,456,886.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315,683,464 : 18,490,622,622 = 18,490,622,622 : x
  2. Step 2: Convert to fraction form
    8,315,683,464/18,490,622,622 = 18,490,622,622/x
  3. Step 3: Cross multiply
    8,315,683,464x = 18,490,622,622 × 18,490,622,622
  4. Step 4: Simplify right side
    8,315,683,464x = 341,903,124,949,218,164,736
  5. Step 5: Solve for x
    x = 341,903,124,949,218,164,736/8,315,683,464
  6. Step 6: Final answer
    x = 41,115,456,886.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.