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Finding the Third Proportional to 7,455,025 and 16,305,841

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Solution

The third proportional to 7,455,025 and 16,305,841 is: 35,664,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,455,025 : 16,305,841 = 16,305,841 : x
  2. Step 2: Convert to fraction form
    7,455,025/16,305,841 = 16,305,841/x
  3. Step 3: Cross multiply
    7,455,025x = 16,305,841 × 16,305,841
  4. Step 4: Simplify right side
    7,455,025x = 265,880,450,717,281
  5. Step 5: Solve for x
    x = 265,880,450,717,281/7,455,025
  6. Step 6: Final answer
    x = 35,664,595.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.