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Finding the Third Proportional to 64,676,090,580 and 140,740,838,589

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Solution

The third proportional to 64,676,090,580 and 140,740,838,589 is: 306,264,393,365.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,676,090,580 : 140,740,838,589 = 140,740,838,589 : x
  2. Step 2: Convert to fraction form
    64,676,090,580/140,740,838,589 = 140,740,838,589/x
  3. Step 3: Cross multiply
    64,676,090,580x = 140,740,838,589 × 140,740,838,589
  4. Step 4: Simplify right side
    64,676,090,580x = 19,807,983,646,734,949,548,032
  5. Step 5: Solve for x
    x = 19,807,983,646,734,949,548,032/64,676,090,580
  6. Step 6: Final answer
    x = 306,264,393,365.49

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