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Finding the Third Proportional to 25,085,146.50 and 36,659,398.50

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Solution

The third proportional to 25,085,146.50 and 36,659,398.50 is: 53,573,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,085,146.50 : 36,659,398.50 = 36,659,398.50 : x
  2. Step 2: Convert to fraction form
    25,085,146.50/36,659,398.50 = 36,659,398.50/x
  3. Step 3: Cross multiply
    25,085,146.50x = 36,659,398.50 × 36,659,398.50
  4. Step 4: Simplify right side
    25,085,146.50x = 1,343,911,498,381,802.25
  5. Step 5: Solve for x
    x = 1,343,911,498,381,802.25/25,085,146.50
  6. Step 6: Final answer
    x = 53,573,994.41

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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.