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Finding the Third Proportional to 39,594,865.50 and 57,974,798.25

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Solution

The third proportional to 39,594,865.50 and 57,974,798.25 is: 84,886,694.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,594,865.50 : 57,974,798.25 = 57,974,798.25 : x
  2. Step 2: Convert to fraction form
    39,594,865.50/57,974,798.25 = 57,974,798.25/x
  3. Step 3: Cross multiply
    39,594,865.50x = 57,974,798.25 × 57,974,798.25
  4. Step 4: Simplify right side
    39,594,865.50x = 3,361,077,232,128,203
  5. Step 5: Solve for x
    x = 3,361,077,232,128,203/39,594,865.50
  6. Step 6: Final answer
    x = 84,886,694.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.