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Finding the Third Proportional to 4,281,901.88 and 9,232,232.63

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Solution

The third proportional to 4,281,901.88 and 9,232,232.63 is: 19,905,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281,901.88 : 9,232,232.63 = 9,232,232.63 : x
  2. Step 2: Convert to fraction form
    4,281,901.88/9,232,232.63 = 9,232,232.63/x
  3. Step 3: Cross multiply
    4,281,901.88x = 9,232,232.63 × 9,232,232.63
  4. Step 4: Simplify right side
    4,281,901.88x = 85,234,119,242,114.39
  5. Step 5: Solve for x
    x = 85,234,119,242,114.39/4,281,901.88
  6. Step 6: Final answer
    x = 19,905,668.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.