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Finding the Third Proportional to 64,929,283,998 and 139,630,201,968

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Solution

The third proportional to 64,929,283,998 and 139,630,201,968 is: 300,274,269,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,929,283,998 : 139,630,201,968 = 139,630,201,968 : x
  2. Step 2: Convert to fraction form
    64,929,283,998/139,630,201,968 = 139,630,201,968/x
  3. Step 3: Cross multiply
    64,929,283,998x = 139,630,201,968 × 139,630,201,968
  4. Step 4: Simplify right side
    64,929,283,998x = 19,496,593,301,624,472,993,792
  5. Step 5: Solve for x
    x = 19,496,593,301,624,472,993,792/64,929,283,998
  6. Step 6: Final answer
    x = 300,274,269,191.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.