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Finding the Third Proportional to 37,312,087.50 and 80,735,726.25

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Solution

The third proportional to 37,312,087.50 and 80,735,726.25 is: 174,695,599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,312,087.50 : 80,735,726.25 = 80,735,726.25 : x
  2. Step 2: Convert to fraction form
    37,312,087.50/80,735,726.25 = 80,735,726.25/x
  3. Step 3: Cross multiply
    37,312,087.50x = 80,735,726.25 × 80,735,726.25
  4. Step 4: Simplify right side
    37,312,087.50x = 6,518,257,493,114,939
  5. Step 5: Solve for x
    x = 6,518,257,493,114,939/37,312,087.50
  6. Step 6: Final answer
    x = 174,695,599.47

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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.