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Finding the Third Proportional to 41,028,849 and 64,968,129

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Solution

The third proportional to 41,028,849 and 64,968,129 is: 102,875,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,028,849 : 64,968,129 = 64,968,129 : x
  2. Step 2: Convert to fraction form
    41,028,849/64,968,129 = 64,968,129/x
  3. Step 3: Cross multiply
    41,028,849x = 64,968,129 × 64,968,129
  4. Step 4: Simplify right side
    41,028,849x = 4,220,857,785,760,641
  5. Step 5: Solve for x
    x = 4,220,857,785,760,641/41,028,849
  6. Step 6: Final answer
    x = 102,875,364.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.