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Finding the Third Proportional to 1,615,169,380 and 3,505,996,142

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Solution

The third proportional to 1,615,169,380 and 3,505,996,142 is: 7,610,352,883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615,169,380 : 3,505,996,142 = 3,505,996,142 : x
  2. Step 2: Convert to fraction form
    1,615,169,380/3,505,996,142 = 3,505,996,142/x
  3. Step 3: Cross multiply
    1,615,169,380x = 3,505,996,142 × 3,505,996,142
  4. Step 4: Simplify right side
    1,615,169,380x = 12,292,008,947,718,883,328
  5. Step 5: Solve for x
    x = 12,292,008,947,718,883,328/1,615,169,380
  6. Step 6: Final answer
    x = 7,610,352,883.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.