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Finding the Third Proportional to 4,894,573.50 and 10,497,370.50

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Solution

The third proportional to 4,894,573.50 and 10,497,370.50 is: 22,513,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894,573.50 : 10,497,370.50 = 10,497,370.50 : x
  2. Step 2: Convert to fraction form
    4,894,573.50/10,497,370.50 = 10,497,370.50/x
  3. Step 3: Cross multiply
    4,894,573.50x = 10,497,370.50 × 10,497,370.50
  4. Step 4: Simplify right side
    4,894,573.50x = 110,194,787,414,270.25
  5. Step 5: Solve for x
    x = 110,194,787,414,270.25/4,894,573.50
  6. Step 6: Final answer
    x = 22,513,664.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.