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Finding the Third Proportional to 64,737,569 and 138,685,985

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Solution

The third proportional to 64,737,569 and 138,685,985 is: 297,104,181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,737,569 : 138,685,985 = 138,685,985 : x
  2. Step 2: Convert to fraction form
    64,737,569/138,685,985 = 138,685,985/x
  3. Step 3: Cross multiply
    64,737,569x = 138,685,985 × 138,685,985
  4. Step 4: Simplify right side
    64,737,569x = 19,233,802,435,420,224
  5. Step 5: Solve for x
    x = 19,233,802,435,420,224/64,737,569
  6. Step 6: Final answer
    x = 297,104,181.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.