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Finding the Third Proportional to 14,029,078 and 30,146,742

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Solution

The third proportional to 14,029,078 and 30,146,742 is: 64,781,595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,029,078 : 30,146,742 = 30,146,742 : x
  2. Step 2: Convert to fraction form
    14,029,078/30,146,742 = 30,146,742/x
  3. Step 3: Cross multiply
    14,029,078x = 30,146,742 × 30,146,742
  4. Step 4: Simplify right side
    14,029,078x = 908,826,053,214,564
  5. Step 5: Solve for x
    x = 908,826,053,214,564/14,029,078
  6. Step 6: Final answer
    x = 64,781,595.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.