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Finding the Third Proportional to 841,860,641,581.88 and 1,728,350,768,247.80

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Solution

The third proportional to 841,860,641,581.88 and 1,728,350,768,247.80 is: 3,548,326,445,680.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,860,641,581.88 : 1,728,350,768,247.80 = 1,728,350,768,247.80 : x
  2. Step 2: Convert to fraction form
    841,860,641,581.88/1,728,350,768,247.80 = 1,728,350,768,247.80/x
  3. Step 3: Cross multiply
    841,860,641,581.88x = 1,728,350,768,247.80 × 1,728,350,768,247.80
  4. Step 4: Simplify right side
    841,860,641,581.88x = 2,987,196,378,102,760,673,902,592
  5. Step 5: Solve for x
    x = 2,987,196,378,102,760,673,902,592/841,860,641,581.88
  6. Step 6: Final answer
    x = 3,548,326,445,680.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.