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Finding the Third Proportional to 56,147,140,733 and 124,847,980,767

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Solution

The third proportional to 56,147,140,733 and 124,847,980,767 is: 277,610,188,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,147,140,733 : 124,847,980,767 = 124,847,980,767 : x
  2. Step 2: Convert to fraction form
    56,147,140,733/124,847,980,767 = 124,847,980,767/x
  3. Step 3: Cross multiply
    56,147,140,733x = 124,847,980,767 × 124,847,980,767
  4. Step 4: Simplify right side
    56,147,140,733x = 15,587,018,301,597,202,513,920
  5. Step 5: Solve for x
    x = 15,587,018,301,597,202,513,920/56,147,140,733
  6. Step 6: Final answer
    x = 277,610,188,125.50

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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.