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Finding the Third Proportional to 368,181,239,794 and 860,237,506,417

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Solution

The third proportional to 368,181,239,794 and 860,237,506,417 is: 2,009,902,970,234.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,181,239,794 : 860,237,506,417 = 860,237,506,417 : x
  2. Step 2: Convert to fraction form
    368,181,239,794/860,237,506,417 = 860,237,506,417/x
  3. Step 3: Cross multiply
    368,181,239,794x = 860,237,506,417 × 860,237,506,417
  4. Step 4: Simplify right side
    368,181,239,794x = 740,008,567,446,538,131,865,600
  5. Step 5: Solve for x
    x = 740,008,567,446,538,131,865,600/368,181,239,794
  6. Step 6: Final answer
    x = 2,009,902,970,234.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.