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Finding the Third Proportional to 6,590,145 and 10,203,216

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Solution

The third proportional to 6,590,145 and 10,203,216 is: 15,797,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590,145 : 10,203,216 = 10,203,216 : x
  2. Step 2: Convert to fraction form
    6,590,145/10,203,216 = 10,203,216/x
  3. Step 3: Cross multiply
    6,590,145x = 10,203,216 × 10,203,216
  4. Step 4: Simplify right side
    6,590,145x = 104,105,616,742,656
  5. Step 5: Solve for x
    x = 104,105,616,742,656/6,590,145
  6. Step 6: Final answer
    x = 15,797,166.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.