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Finding the Third Proportional to 3,237,458.63 and 6,993,646.31

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Solution

The third proportional to 3,237,458.63 and 6,993,646.31 is: 15,107,865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237,458.63 : 6,993,646.31 = 6,993,646.31 : x
  2. Step 2: Convert to fraction form
    3,237,458.63/6,993,646.31 = 6,993,646.31/x
  3. Step 3: Cross multiply
    3,237,458.63x = 6,993,646.31 × 6,993,646.31
  4. Step 4: Simplify right side
    3,237,458.63x = 48,911,088,744,344.84
  5. Step 5: Solve for x
    x = 48,911,088,744,344.84/3,237,458.63
  6. Step 6: Final answer
    x = 15,107,865.28

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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.