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Finding the Third Proportional to 34,670,057.25 and 75,117,898.50

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Solution

The third proportional to 34,670,057.25 and 75,117,898.50 is: 162,754,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,670,057.25 : 75,117,898.50 = 75,117,898.50 : x
  2. Step 2: Convert to fraction form
    34,670,057.25/75,117,898.50 = 75,117,898.50/x
  3. Step 3: Cross multiply
    34,670,057.25x = 75,117,898.50 × 75,117,898.50
  4. Step 4: Simplify right side
    34,670,057.25x = 5,642,698,675,056,302
  5. Step 5: Solve for x
    x = 5,642,698,675,056,302/34,670,057.25
  6. Step 6: Final answer
    x = 162,754,235.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.