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Finding the Third Proportional to 39,584,328.75 and 55,742,414.63

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Solution

The third proportional to 39,584,328.75 and 55,742,414.63 is: 78,496,134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,584,328.75 : 55,742,414.63 = 55,742,414.63 : x
  2. Step 2: Convert to fraction form
    39,584,328.75/55,742,414.63 = 55,742,414.63/x
  3. Step 3: Cross multiply
    39,584,328.75x = 55,742,414.63 × 55,742,414.63
  4. Step 4: Simplify right side
    39,584,328.75x = 3,107,216,788,225,414
  5. Step 5: Solve for x
    x = 3,107,216,788,225,414/39,584,328.75
  6. Step 6: Final answer
    x = 78,496,134.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.