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Finding the Third Proportional to 61,048,834 and 130,959,904

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Solution

The third proportional to 61,048,834 and 130,959,904 is: 280,930,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,048,834 : 130,959,904 = 130,959,904 : x
  2. Step 2: Convert to fraction form
    61,048,834/130,959,904 = 130,959,904/x
  3. Step 3: Cross multiply
    61,048,834x = 130,959,904 × 130,959,904
  4. Step 4: Simplify right side
    61,048,834x = 17,150,496,455,689,216
  5. Step 5: Solve for x
    x = 17,150,496,455,689,216/61,048,834
  6. Step 6: Final answer
    x = 280,930,778.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.