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Finding the Third Proportional to 34,337,200.50 and 74,638,329.75

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Solution

The third proportional to 34,337,200.50 and 74,638,329.75 is: 162,240,374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,337,200.50 : 74,638,329.75 = 74,638,329.75 : x
  2. Step 2: Convert to fraction form
    34,337,200.50/74,638,329.75 = 74,638,329.75/x
  3. Step 3: Cross multiply
    34,337,200.50x = 74,638,329.75 × 74,638,329.75
  4. Step 4: Simplify right side
    34,337,200.50x = 5,570,880,267,869,735
  5. Step 5: Solve for x
    x = 5,570,880,267,869,735/34,337,200.50
  6. Step 6: Final answer
    x = 162,240,374.48

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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.