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Finding the Third Proportional to 4,908,464 and 11,464,151

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Solution

The third proportional to 4,908,464 and 11,464,151 is: 26,775,536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,908,464 : 11,464,151 = 11,464,151 : x
  2. Step 2: Convert to fraction form
    4,908,464/11,464,151 = 11,464,151/x
  3. Step 3: Cross multiply
    4,908,464x = 11,464,151 × 11,464,151
  4. Step 4: Simplify right side
    4,908,464x = 131,426,758,150,801
  5. Step 5: Solve for x
    x = 131,426,758,150,801/4,908,464
  6. Step 6: Final answer
    x = 26,775,536.74

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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.