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Finding the Third Proportional to 14,475,405 and 31,174,989

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Solution

The third proportional to 14,475,405 and 31,174,989 is: 67,140,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,475,405 : 31,174,989 = 31,174,989 : x
  2. Step 2: Convert to fraction form
    14,475,405/31,174,989 = 31,174,989/x
  3. Step 3: Cross multiply
    14,475,405x = 31,174,989 × 31,174,989
  4. Step 4: Simplify right side
    14,475,405x = 971,879,939,150,121
  5. Step 5: Solve for x
    x = 971,879,939,150,121/14,475,405
  6. Step 6: Final answer
    x = 67,140,086.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.