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Finding the Third Proportional to 30,940,410 and 65,569,074

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Solution

The third proportional to 30,940,410 and 65,569,074 is: 138,954,314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940,410 : 65,569,074 = 65,569,074 : x
  2. Step 2: Convert to fraction form
    30,940,410/65,569,074 = 65,569,074/x
  3. Step 3: Cross multiply
    30,940,410x = 65,569,074 × 65,569,074
  4. Step 4: Simplify right side
    30,940,410x = 4,299,303,465,217,476
  5. Step 5: Solve for x
    x = 4,299,303,465,217,476/30,940,410
  6. Step 6: Final answer
    x = 138,954,314.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.