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Finding the Third Proportional to 2,194,533.42 and 4,712,636.95

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Solution

The third proportional to 2,194,533.42 and 4,712,636.95 is: 10,120,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194,533.42 : 4,712,636.95 = 4,712,636.95 : x
  2. Step 2: Convert to fraction form
    2,194,533.42/4,712,636.95 = 4,712,636.95/x
  3. Step 3: Cross multiply
    2,194,533.42x = 4,712,636.95 × 4,712,636.95
  4. Step 4: Simplify right side
    2,194,533.42x = 22,208,947,051,959.29
  5. Step 5: Solve for x
    x = 22,208,947,051,959.29/2,194,533.42
  6. Step 6: Final answer
    x = 10,120,122.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.