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Finding the Third Proportional to 64,099,634 and 130,464,588

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Solution

The third proportional to 64,099,634 and 130,464,588 is: 265,539,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,099,634 : 130,464,588 = 130,464,588 : x
  2. Step 2: Convert to fraction form
    64,099,634/130,464,588 = 130,464,588/x
  3. Step 3: Cross multiply
    64,099,634x = 130,464,588 × 130,464,588
  4. Step 4: Simplify right side
    64,099,634x = 17,021,008,722,009,744
  5. Step 5: Solve for x
    x = 17,021,008,722,009,744/64,099,634
  6. Step 6: Final answer
    x = 265,539,873.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.