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Finding the Third Proportional to 64,163,775 and 138,555,582

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Solution

The third proportional to 64,163,775 and 138,555,582 is: 299,197,628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,163,775 : 138,555,582 = 138,555,582 : x
  2. Step 2: Convert to fraction form
    64,163,775/138,555,582 = 138,555,582/x
  3. Step 3: Cross multiply
    64,163,775x = 138,555,582 × 138,555,582
  4. Step 4: Simplify right side
    64,163,775x = 19,197,649,303,358,724
  5. Step 5: Solve for x
    x = 19,197,649,303,358,724/64,163,775
  6. Step 6: Final answer
    x = 299,197,628.31

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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.