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Finding the Third Proportional to 36,314,378.16 and 77,809,479.05

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Solution

The third proportional to 36,314,378.16 and 77,809,479.05 is: 166,719,501.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,314,378.16 : 77,809,479.05 = 77,809,479.05 : x
  2. Step 2: Convert to fraction form
    36,314,378.16/77,809,479.05 = 77,809,479.05/x
  3. Step 3: Cross multiply
    36,314,378.16x = 77,809,479.05 × 77,809,479.05
  4. Step 4: Simplify right side
    36,314,378.16x = 6,054,315,029,546,080
  5. Step 5: Solve for x
    x = 6,054,315,029,546,080/36,314,378.16
  6. Step 6: Final answer
    x = 166,719,501.67

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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.