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Finding the Third Proportional to 2,105,061.19 and 4,533,865.88

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Solution

The third proportional to 2,105,061.19 and 4,533,865.88 is: 9,765,008.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,061.19 : 4,533,865.88 = 4,533,865.88 : x
  2. Step 2: Convert to fraction form
    2,105,061.19/4,533,865.88 = 4,533,865.88/x
  3. Step 3: Cross multiply
    2,105,061.19x = 4,533,865.88 × 4,533,865.88
  4. Step 4: Simplify right side
    2,105,061.19x = 20,555,939,772,489.52
  5. Step 5: Solve for x
    x = 20,555,939,772,489.52/2,105,061.19
  6. Step 6: Final answer
    x = 9,765,008.21

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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.