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Finding the Third Proportional to 51,399,478,935 and 112,728,135,795

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Solution

The third proportional to 51,399,478,935 and 112,728,135,795 is: 247,232,712,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,399,478,935 : 112,728,135,795 = 112,728,135,795 : x
  2. Step 2: Convert to fraction form
    51,399,478,935/112,728,135,795 = 112,728,135,795/x
  3. Step 3: Cross multiply
    51,399,478,935x = 112,728,135,795 × 112,728,135,795
  4. Step 4: Simplify right side
    51,399,478,935x = 12,707,632,599,815,960,920,064
  5. Step 5: Solve for x
    x = 12,707,632,599,815,960,920,064/51,399,478,935
  6. Step 6: Final answer
    x = 247,232,712,531.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.