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Finding the Third Proportional to 9,433,146 and 14,961,014

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Solution

The third proportional to 9,433,146 and 14,961,014 is: 23,728,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433,146 : 14,961,014 = 14,961,014 : x
  2. Step 2: Convert to fraction form
    9,433,146/14,961,014 = 14,961,014/x
  3. Step 3: Cross multiply
    9,433,146x = 14,961,014 × 14,961,014
  4. Step 4: Simplify right side
    9,433,146x = 223,831,939,908,196
  5. Step 5: Solve for x
    x = 223,831,939,908,196/9,433,146
  6. Step 6: Final answer
    x = 23,728,238.69

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.