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Finding the Third Proportional to 64,163,151 and 138,553,524

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Solution

The third proportional to 64,163,151 and 138,553,524 is: 299,191,649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,163,151 : 138,553,524 = 138,553,524 : x
  2. Step 2: Convert to fraction form
    64,163,151/138,553,524 = 138,553,524/x
  3. Step 3: Cross multiply
    64,163,151x = 138,553,524 × 138,553,524
  4. Step 4: Simplify right side
    64,163,151x = 19,197,079,012,818,576
  5. Step 5: Solve for x
    x = 19,197,079,012,818,576/64,163,151
  6. Step 6: Final answer
    x = 299,191,649.94

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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.