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Finding the Third Proportional to 37,312,041 and 80,735,634

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Solution

The third proportional to 37,312,041 and 80,735,634 is: 174,695,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,312,041 : 80,735,634 = 80,735,634 : x
  2. Step 2: Convert to fraction form
    37,312,041/80,735,634 = 80,735,634/x
  3. Step 3: Cross multiply
    37,312,041x = 80,735,634 × 80,735,634
  4. Step 4: Simplify right side
    37,312,041x = 6,518,242,597,381,956
  5. Step 5: Solve for x
    x = 6,518,242,597,381,956/37,312,041
  6. Step 6: Final answer
    x = 174,695,417.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.