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Finding the Third Proportional to 33,547,468.50 and 73,375,987.50

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Solution

The third proportional to 33,547,468.50 and 73,375,987.50 is: 160,490,069.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,547,468.50 : 73,375,987.50 = 73,375,987.50 : x
  2. Step 2: Convert to fraction form
    33,547,468.50/73,375,987.50 = 73,375,987.50/x
  3. Step 3: Cross multiply
    33,547,468.50x = 73,375,987.50 × 73,375,987.50
  4. Step 4: Simplify right side
    33,547,468.50x = 5,384,035,541,600,156
  5. Step 5: Solve for x
    x = 5,384,035,541,600,156/33,547,468.50
  6. Step 6: Final answer
    x = 160,490,069.22

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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.