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Finding the Third Proportional to 15,413,857.13 and 32,102,895

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Solution

The third proportional to 15,413,857.13 and 32,102,895 is: 66,861,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,413,857.13 : 32,102,895 = 32,102,895 : x
  2. Step 2: Convert to fraction form
    15,413,857.13/32,102,895 = 32,102,895/x
  3. Step 3: Cross multiply
    15,413,857.13x = 32,102,895 × 32,102,895
  4. Step 4: Simplify right side
    15,413,857.13x = 1,030,595,867,381,025
  5. Step 5: Solve for x
    x = 1,030,595,867,381,025/15,413,857.13
  6. Step 6: Final answer
    x = 66,861,646.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.