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Finding the Third Proportional to 36,314,411.06 and 77,809,544.16

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Solution

The third proportional to 36,314,411.06 and 77,809,544.16 is: 166,719,629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,314,411.06 : 77,809,544.16 = 77,809,544.16 : x
  2. Step 2: Convert to fraction form
    36,314,411.06/77,809,544.16 = 77,809,544.16/x
  3. Step 3: Cross multiply
    36,314,411.06x = 77,809,544.16 × 77,809,544.16
  4. Step 4: Simplify right side
    36,314,411.06x = 6,054,325,161,803,419
  5. Step 5: Solve for x
    x = 6,054,325,161,803,419/36,314,411.06
  6. Step 6: Final answer
    x = 166,719,629.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.