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Finding the Third Proportional to 3,093,763,140 and 4,906,900,296

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Solution

The third proportional to 3,093,763,140 and 4,906,900,296 is: 7,782,648,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093,763,140 : 4,906,900,296 = 4,906,900,296 : x
  2. Step 2: Convert to fraction form
    3,093,763,140/4,906,900,296 = 4,906,900,296/x
  3. Step 3: Cross multiply
    3,093,763,140x = 4,906,900,296 × 4,906,900,296
  4. Step 4: Simplify right side
    3,093,763,140x = 24,077,670,514,884,886,528
  5. Step 5: Solve for x
    x = 24,077,670,514,884,886,528/3,093,763,140
  6. Step 6: Final answer
    x = 7,782,648,323.52

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Why These Related Problems?

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