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Finding the Third Proportional to 13,646,289 and 29,684,058

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Solution

The third proportional to 13,646,289 and 29,684,058 is: 64,570,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646,289 : 29,684,058 = 29,684,058 : x
  2. Step 2: Convert to fraction form
    13,646,289/29,684,058 = 29,684,058/x
  3. Step 3: Cross multiply
    13,646,289x = 29,684,058 × 29,684,058
  4. Step 4: Simplify right side
    13,646,289x = 881,143,299,347,364
  5. Step 5: Solve for x
    x = 881,143,299,347,364/13,646,289
  6. Step 6: Final answer
    x = 64,570,177.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.