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Finding the Third Proportional to 2,507,166 and 5,413,332

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Solution

The third proportional to 2,507,166 and 5,413,332 is: 11,688,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507,166 : 5,413,332 = 5,413,332 : x
  2. Step 2: Convert to fraction form
    2,507,166/5,413,332 = 5,413,332/x
  3. Step 3: Cross multiply
    2,507,166x = 5,413,332 × 5,413,332
  4. Step 4: Simplify right side
    2,507,166x = 29,304,163,342,224
  5. Step 5: Solve for x
    x = 29,304,163,342,224/2,507,166
  6. Step 6: Final answer
    x = 11,688,162.39

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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.