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Finding the Third Proportional to 4,577,527.69 and 6,233,804.30

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Solution

The third proportional to 4,577,527.69 and 6,233,804.30 is: 8,489,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577,527.69 : 6,233,804.30 = 6,233,804.30 : x
  2. Step 2: Convert to fraction form
    4,577,527.69/6,233,804.30 = 6,233,804.30/x
  3. Step 3: Cross multiply
    4,577,527.69x = 6,233,804.30 × 6,233,804.30
  4. Step 4: Simplify right side
    4,577,527.69x = 38,860,316,011,737.21
  5. Step 5: Solve for x
    x = 38,860,316,011,737.21/4,577,527.69
  6. Step 6: Final answer
    x = 8,489,367.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.