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Finding the Third Proportional to 5,053,348 and 7,775,214

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Solution

The third proportional to 5,053,348 and 7,775,214 is: 11,963,148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053,348 : 7,775,214 = 7,775,214 : x
  2. Step 2: Convert to fraction form
    5,053,348/7,775,214 = 7,775,214/x
  3. Step 3: Cross multiply
    5,053,348x = 7,775,214 × 7,775,214
  4. Step 4: Simplify right side
    5,053,348x = 60,453,952,745,796
  5. Step 5: Solve for x
    x = 60,453,952,745,796/5,053,348
  6. Step 6: Final answer
    x = 11,963,148.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.