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Finding the Third Proportional to 116,864,084,666 and 255,244,352,080

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Solution

The third proportional to 116,864,084,666 and 255,244,352,080 is: 557,482,475,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,864,084,666 : 255,244,352,080 = 255,244,352,080 : x
  2. Step 2: Convert to fraction form
    116,864,084,666/255,244,352,080 = 255,244,352,080/x
  3. Step 3: Cross multiply
    116,864,084,666x = 255,244,352,080 × 255,244,352,080
  4. Step 4: Simplify right side
    116,864,084,666x = 65,149,679,268,739,000,827,904
  5. Step 5: Solve for x
    x = 65,149,679,268,739,000,827,904/116,864,084,666
  6. Step 6: Final answer
    x = 557,482,475,945.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.