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Finding the Third Proportional to 5,932,438,298 and 8,078,968,365

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Solution

The third proportional to 5,932,438,298 and 8,078,968,365 is: 11,002,175,929.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932,438,298 : 8,078,968,365 = 8,078,968,365 : x
  2. Step 2: Convert to fraction form
    5,932,438,298/8,078,968,365 = 8,078,968,365/x
  3. Step 3: Cross multiply
    5,932,438,298x = 8,078,968,365 × 8,078,968,365
  4. Step 4: Simplify right side
    5,932,438,298x = 65,269,729,842,670,772,224
  5. Step 5: Solve for x
    x = 65,269,729,842,670,772,224/5,932,438,298
  6. Step 6: Final answer
    x = 11,002,175,929.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.