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Finding the Third Proportional to 2,954,385.38 and 6,426,406.13

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Solution

The third proportional to 2,954,385.38 and 6,426,406.13 is: 13,978,777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954,385.38 : 6,426,406.13 = 6,426,406.13 : x
  2. Step 2: Convert to fraction form
    2,954,385.38/6,426,406.13 = 6,426,406.13/x
  3. Step 3: Cross multiply
    2,954,385.38x = 6,426,406.13 × 6,426,406.13
  4. Step 4: Simplify right side
    2,954,385.38x = 41,298,695,683,437.52
  5. Step 5: Solve for x
    x = 41,298,695,683,437.52/2,954,385.38
  6. Step 6: Final answer
    x = 13,978,777.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.