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Finding the Third Proportional to 36,806,071.50 and 77,419,707.75

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Solution

The third proportional to 36,806,071.50 and 77,419,707.75 is: 162,848,435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,806,071.50 : 77,419,707.75 = 77,419,707.75 : x
  2. Step 2: Convert to fraction form
    36,806,071.50/77,419,707.75 = 77,419,707.75/x
  3. Step 3: Cross multiply
    36,806,071.50x = 77,419,707.75 × 77,419,707.75
  4. Step 4: Simplify right side
    36,806,071.50x = 5,993,811,148,095,410
  5. Step 5: Solve for x
    x = 5,993,811,148,095,410/36,806,071.50
  6. Step 6: Final answer
    x = 162,848,435.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.