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Finding the Third Proportional to 64,099,629 and 130,464,579

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Solution

The third proportional to 64,099,629 and 130,464,579 is: 265,539,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,099,629 : 130,464,579 = 130,464,579 : x
  2. Step 2: Convert to fraction form
    64,099,629/130,464,579 = 130,464,579/x
  3. Step 3: Cross multiply
    64,099,629x = 130,464,579 × 130,464,579
  4. Step 4: Simplify right side
    64,099,629x = 17,021,006,373,647,240
  5. Step 5: Solve for x
    x = 17,021,006,373,647,240/64,099,629
  6. Step 6: Final answer
    x = 265,539,857.86

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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.