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Finding the Third Proportional to 37,751,926.50 and 82,706,926.50

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Solution

The third proportional to 37,751,926.50 and 82,706,926.50 is: 181,194,347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,751,926.50 : 82,706,926.50 = 82,706,926.50 : x
  2. Step 2: Convert to fraction form
    37,751,926.50/82,706,926.50 = 82,706,926.50/x
  3. Step 3: Cross multiply
    37,751,926.50x = 82,706,926.50 × 82,706,926.50
  4. Step 4: Simplify right side
    37,751,926.50x = 6,840,435,691,076,402
  5. Step 5: Solve for x
    x = 6,840,435,691,076,402/37,751,926.50
  6. Step 6: Final answer
    x = 181,194,347.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.