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Finding the Third Proportional to 25,584,259.50 and 41,772,371.63

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Solution

The third proportional to 25,584,259.50 and 41,772,371.63 is: 68,203,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,584,259.50 : 41,772,371.63 = 41,772,371.63 : x
  2. Step 2: Convert to fraction form
    25,584,259.50/41,772,371.63 = 41,772,371.63/x
  3. Step 3: Cross multiply
    25,584,259.50x = 41,772,371.63 × 41,772,371.63
  4. Step 4: Simplify right side
    25,584,259.50x = 1,744,931,031,177,105.25
  5. Step 5: Solve for x
    x = 1,744,931,031,177,105.25/25,584,259.50
  6. Step 6: Final answer
    x = 68,203,304.11

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.