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Finding the Third Proportional to 23,436,854.50 and 37,294,255.50

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Solution

The third proportional to 23,436,854.50 and 37,294,255.50 is: 59,345,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,436,854.50 : 37,294,255.50 = 37,294,255.50 : x
  2. Step 2: Convert to fraction form
    23,436,854.50/37,294,255.50 = 37,294,255.50/x
  3. Step 3: Cross multiply
    23,436,854.50x = 37,294,255.50 × 37,294,255.50
  4. Step 4: Simplify right side
    23,436,854.50x = 1,390,861,493,299,280.25
  5. Step 5: Solve for x
    x = 1,390,861,493,299,280.25/23,436,854.50
  6. Step 6: Final answer
    x = 59,345,058.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.