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Finding the Third Proportional to 3,423,283 and 7,228,532

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Solution

The third proportional to 3,423,283 and 7,228,532 is: 15,263,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423,283 : 7,228,532 = 7,228,532 : x
  2. Step 2: Convert to fraction form
    3,423,283/7,228,532 = 7,228,532/x
  3. Step 3: Cross multiply
    3,423,283x = 7,228,532 × 7,228,532
  4. Step 4: Simplify right side
    3,423,283x = 52,251,674,875,024
  5. Step 5: Solve for x
    x = 52,251,674,875,024/3,423,283
  6. Step 6: Final answer
    x = 15,263,615.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.