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Finding the Third Proportional to 6,385,113 and 14,187,399.75

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Solution

The third proportional to 6,385,113 and 14,187,399.75 is: 31,523,688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385,113 : 14,187,399.75 = 14,187,399.75 : x
  2. Step 2: Convert to fraction form
    6,385,113/14,187,399.75 = 14,187,399.75/x
  3. Step 3: Cross multiply
    6,385,113x = 14,187,399.75 × 14,187,399.75
  4. Step 4: Simplify right side
    6,385,113x = 201,282,311,666,300.06
  5. Step 5: Solve for x
    x = 201,282,311,666,300.06/6,385,113
  6. Step 6: Final answer
    x = 31,523,688.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.