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Finding the Third Proportional to 368,181,239,792 and 860,237,506,412

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Solution

The third proportional to 368,181,239,792 and 860,237,506,412 is: 2,009,902,970,221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,181,239,792 : 860,237,506,412 = 860,237,506,412 : x
  2. Step 2: Convert to fraction form
    368,181,239,792/860,237,506,412 = 860,237,506,412/x
  3. Step 3: Cross multiply
    368,181,239,792x = 860,237,506,412 × 860,237,506,412
  4. Step 4: Simplify right side
    368,181,239,792x = 740,008,567,437,935,715,024,896
  5. Step 5: Solve for x
    x = 740,008,567,437,935,715,024,896/368,181,239,792
  6. Step 6: Final answer
    x = 2,009,902,970,221.94

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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.