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Finding the Third Proportional to 16,302,265.35 and 35,158,255.66

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Solution

The third proportional to 16,302,265.35 and 35,158,255.66 is: 75,823,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302,265.35 : 35,158,255.66 = 35,158,255.66 : x
  2. Step 2: Convert to fraction form
    16,302,265.35/35,158,255.66 = 35,158,255.66/x
  3. Step 3: Cross multiply
    16,302,265.35x = 35,158,255.66 × 35,158,255.66
  4. Step 4: Simplify right side
    16,302,265.35x = 1,236,102,941,339,547.75
  5. Step 5: Solve for x
    x = 1,236,102,941,339,547.75/16,302,265.35
  6. Step 6: Final answer
    x = 75,823,998.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.