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Finding the Third Proportional to 64,737,565 and 138,685,977

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Solution

The third proportional to 64,737,565 and 138,685,977 is: 297,104,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,737,565 : 138,685,977 = 138,685,977 : x
  2. Step 2: Convert to fraction form
    64,737,565/138,685,977 = 138,685,977/x
  3. Step 3: Cross multiply
    64,737,565x = 138,685,977 × 138,685,977
  4. Step 4: Simplify right side
    64,737,565x = 19,233,800,216,444,528
  5. Step 5: Solve for x
    x = 19,233,800,216,444,528/64,737,565
  6. Step 6: Final answer
    x = 297,104,165.36

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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.