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Finding the Third Proportional to 14,650,989 and 31,824,129

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Solution

The third proportional to 14,650,989 and 31,824,129 is: 69,126,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,650,989 : 31,824,129 = 31,824,129 : x
  2. Step 2: Convert to fraction form
    14,650,989/31,824,129 = 31,824,129/x
  3. Step 3: Cross multiply
    14,650,989x = 31,824,129 × 31,824,129
  4. Step 4: Simplify right side
    14,650,989x = 1,012,775,186,608,641
  5. Step 5: Solve for x
    x = 1,012,775,186,608,641/14,650,989
  6. Step 6: Final answer
    x = 69,126,745.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.