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Finding the Third Proportional to 4,440,906.42 and 9,717,643.51

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Solution

The third proportional to 4,440,906.42 and 9,717,643.51 is: 21,264,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,440,906.42 : 9,717,643.51 = 9,717,643.51 : x
  2. Step 2: Convert to fraction form
    4,440,906.42/9,717,643.51 = 9,717,643.51/x
  3. Step 3: Cross multiply
    4,440,906.42x = 9,717,643.51 × 9,717,643.51
  4. Step 4: Simplify right side
    4,440,906.42x = 94,432,595,420,850.50
  5. Step 5: Solve for x
    x = 94,432,595,420,850.50/4,440,906.42
  6. Step 6: Final answer
    x = 21,264,261.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.