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Finding the Third Proportional to 6,438,646.13 and 13,644,929.25

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Solution

The third proportional to 6,438,646.13 and 13,644,929.25 is: 28,916,652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438,646.13 : 13,644,929.25 = 13,644,929.25 : x
  2. Step 2: Convert to fraction form
    6,438,646.13/13,644,929.25 = 13,644,929.25/x
  3. Step 3: Cross multiply
    6,438,646.13x = 13,644,929.25 × 13,644,929.25
  4. Step 4: Simplify right side
    6,438,646.13x = 186,184,094,237,505.56
  5. Step 5: Solve for x
    x = 186,184,094,237,505.56/6,438,646.13
  6. Step 6: Final answer
    x = 28,916,652.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.