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Finding the Third Proportional to 37,072,255.50 and 77,532,430.50

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Solution

The third proportional to 37,072,255.50 and 77,532,430.50 is: 162,150,311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,072,255.50 : 77,532,430.50 = 77,532,430.50 : x
  2. Step 2: Convert to fraction form
    37,072,255.50/77,532,430.50 = 77,532,430.50/x
  3. Step 3: Cross multiply
    37,072,255.50x = 77,532,430.50 × 77,532,430.50
  4. Step 4: Simplify right side
    37,072,255.50x = 6,011,277,779,237,330
  5. Step 5: Solve for x
    x = 6,011,277,779,237,330/37,072,255.50
  6. Step 6: Final answer
    x = 162,150,311.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.