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Finding the Third Proportional to 1,481,017,610 and 3,084,618,176

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Solution

The third proportional to 1,481,017,610 and 3,084,618,176 is: 6,424,548,383.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481,017,610 : 3,084,618,176 = 3,084,618,176 : x
  2. Step 2: Convert to fraction form
    1,481,017,610/3,084,618,176 = 3,084,618,176/x
  3. Step 3: Cross multiply
    1,481,017,610x = 3,084,618,176 × 3,084,618,176
  4. Step 4: Simplify right side
    1,481,017,610x = 9,514,869,291,709,566,976
  5. Step 5: Solve for x
    x = 9,514,869,291,709,566,976/1,481,017,610
  6. Step 6: Final answer
    x = 6,424,548,383.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.