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Finding the Third Proportional to 4,670,133.47 and 10,259,672.63

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Solution

The third proportional to 4,670,133.47 and 10,259,672.63 is: 22,539,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670,133.47 : 10,259,672.63 = 10,259,672.63 : x
  2. Step 2: Convert to fraction form
    4,670,133.47/10,259,672.63 = 10,259,672.63/x
  3. Step 3: Cross multiply
    4,670,133.47x = 10,259,672.63 × 10,259,672.63
  4. Step 4: Simplify right side
    4,670,133.47x = 105,260,882,372,174.39
  5. Step 5: Solve for x
    x = 105,260,882,372,174.39/4,670,133.47
  6. Step 6: Final answer
    x = 22,539,159.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.