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Finding the Third Proportional to 64,099,631 and 130,464,583

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Solution

The third proportional to 64,099,631 and 130,464,583 is: 265,539,865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,099,631 : 130,464,583 = 130,464,583 : x
  2. Step 2: Convert to fraction form
    64,099,631/130,464,583 = 130,464,583/x
  3. Step 3: Cross multiply
    64,099,631x = 130,464,583 × 130,464,583
  4. Step 4: Simplify right side
    64,099,631x = 17,021,007,417,363,888
  5. Step 5: Solve for x
    x = 17,021,007,417,363,888/64,099,631
  6. Step 6: Final answer
    x = 265,539,865.86

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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.