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Finding the Third Proportional to 3,973,684.50 and 8,846,712

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Solution

The third proportional to 3,973,684.50 and 8,846,712 is: 19,695,653.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973,684.50 : 8,846,712 = 8,846,712 : x
  2. Step 2: Convert to fraction form
    3,973,684.50/8,846,712 = 8,846,712/x
  3. Step 3: Cross multiply
    3,973,684.50x = 8,846,712 × 8,846,712
  4. Step 4: Simplify right side
    3,973,684.50x = 78,264,313,210,944
  5. Step 5: Solve for x
    x = 78,264,313,210,944/3,973,684.50
  6. Step 6: Final answer
    x = 19,695,653.55

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.