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Finding the Third Proportional to 37,312,941.09 and 80,737,727.06

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Solution

The third proportional to 37,312,941.09 and 80,737,727.06 is: 174,700,261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,312,941.09 : 80,737,727.06 = 80,737,727.06 : x
  2. Step 2: Convert to fraction form
    37,312,941.09/80,737,727.06 = 80,737,727.06/x
  3. Step 3: Cross multiply
    37,312,941.09x = 80,737,727.06 × 80,737,727.06
  4. Step 4: Simplify right side
    37,312,941.09x = 6,518,580,571,218,745
  5. Step 5: Solve for x
    x = 6,518,580,571,218,745/37,312,941.09
  6. Step 6: Final answer
    x = 174,700,261.63

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