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Finding the Third Proportional to 64,004,992 and 138,017,984

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Solution

The third proportional to 64,004,992 and 138,017,984 is: 297,616,846.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,004,992 : 138,017,984 = 138,017,984 : x
  2. Step 2: Convert to fraction form
    64,004,992/138,017,984 = 138,017,984/x
  3. Step 3: Cross multiply
    64,004,992x = 138,017,984 × 138,017,984
  4. Step 4: Simplify right side
    64,004,992x = 19,048,963,907,424,256
  5. Step 5: Solve for x
    x = 19,048,963,907,424,256/64,004,992
  6. Step 6: Final answer
    x = 297,616,846.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.