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Finding the Third Proportional to 64,929,284,001 and 139,630,201,974

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Solution

The third proportional to 64,929,284,001 and 139,630,201,974 is: 300,274,269,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,929,284,001 : 139,630,201,974 = 139,630,201,974 : x
  2. Step 2: Convert to fraction form
    64,929,284,001/139,630,201,974 = 139,630,201,974/x
  3. Step 3: Cross multiply
    64,929,284,001x = 139,630,201,974 × 139,630,201,974
  4. Step 4: Simplify right side
    64,929,284,001x = 19,496,593,303,300,034,527,232
  5. Step 5: Solve for x
    x = 19,496,593,303,300,034,527,232/64,929,284,001
  6. Step 6: Final answer
    x = 300,274,269,203.40

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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.