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Finding the Third Proportional to 10,864,071 and 16,297,403

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Solution

The third proportional to 10,864,071 and 16,297,403 is: 24,448,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864,071 : 16,297,403 = 16,297,403 : x
  2. Step 2: Convert to fraction form
    10,864,071/16,297,403 = 16,297,403/x
  3. Step 3: Cross multiply
    10,864,071x = 16,297,403 × 16,297,403
  4. Step 4: Simplify right side
    10,864,071x = 265,605,344,544,409
  5. Step 5: Solve for x
    x = 265,605,344,544,409/10,864,071
  6. Step 6: Final answer
    x = 24,448,049.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.