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Finding the Third Proportional to 37,077,479 and 78,358,731

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Solution

The third proportional to 37,077,479 and 78,358,731 is: 165,601,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,077,479 : 78,358,731 = 78,358,731 : x
  2. Step 2: Convert to fraction form
    37,077,479/78,358,731 = 78,358,731/x
  3. Step 3: Cross multiply
    37,077,479x = 78,358,731 × 78,358,731
  4. Step 4: Simplify right side
    37,077,479x = 6,140,090,723,930,361
  5. Step 5: Solve for x
    x = 6,140,090,723,930,361/37,077,479
  6. Step 6: Final answer
    x = 165,601,623.67

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Why These Related Problems?

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