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Finding the Third Proportional to 37,077,471.50 and 78,358,715.50

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Solution

The third proportional to 37,077,471.50 and 78,358,715.50 is: 165,601,591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,077,471.50 : 78,358,715.50 = 78,358,715.50 : x
  2. Step 2: Convert to fraction form
    37,077,471.50/78,358,715.50 = 78,358,715.50/x
  3. Step 3: Cross multiply
    37,077,471.50x = 78,358,715.50 × 78,358,715.50
  4. Step 4: Simplify right side
    37,077,471.50x = 6,140,088,294,809,940
  5. Step 5: Solve for x
    x = 6,140,088,294,809,940/37,077,471.50
  6. Step 6: Final answer
    x = 165,601,591.65

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.