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Finding the Third Proportional to 4,908,462 and 11,464,146

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Solution

The third proportional to 4,908,462 and 11,464,146 is: 26,775,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,908,462 : 11,464,146 = 11,464,146 : x
  2. Step 2: Convert to fraction form
    4,908,462/11,464,146 = 11,464,146/x
  3. Step 3: Cross multiply
    4,908,462x = 11,464,146 × 11,464,146
  4. Step 4: Simplify right side
    4,908,462x = 131,426,643,509,316
  5. Step 5: Solve for x
    x = 131,426,643,509,316/4,908,462
  6. Step 6: Final answer
    x = 26,775,524.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.