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Finding the Third Proportional to 34,358,998.50 and 73,636,377.75

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Solution

The third proportional to 34,358,998.50 and 73,636,377.75 is: 157,813,567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,358,998.50 : 73,636,377.75 = 73,636,377.75 : x
  2. Step 2: Convert to fraction form
    34,358,998.50/73,636,377.75 = 73,636,377.75/x
  3. Step 3: Cross multiply
    34,358,998.50x = 73,636,377.75 × 73,636,377.75
  4. Step 4: Simplify right side
    34,358,998.50x = 5,422,316,128,140,695
  5. Step 5: Solve for x
    x = 5,422,316,128,140,695/34,358,998.50
  6. Step 6: Final answer
    x = 157,813,567.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.