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Finding the Third Proportional to 43,774,533,743 and 88,767,145,324

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Solution

The third proportional to 43,774,533,743 and 88,767,145,324 is: 180,004,340,771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,774,533,743 : 88,767,145,324 = 88,767,145,324 : x
  2. Step 2: Convert to fraction form
    43,774,533,743/88,767,145,324 = 88,767,145,324/x
  3. Step 3: Cross multiply
    43,774,533,743x = 88,767,145,324 × 88,767,145,324
  4. Step 4: Simplify right side
    43,774,533,743x = 7,879,606,088,972,135,038,976
  5. Step 5: Solve for x
    x = 7,879,606,088,972,135,038,976/43,774,533,743
  6. Step 6: Final answer
    x = 180,004,340,771.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.