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Finding the Third Proportional to 4,283,546 and 9,348,421

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Solution

The third proportional to 4,283,546 and 9,348,421 is: 20,402,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283,546 : 9,348,421 = 9,348,421 : x
  2. Step 2: Convert to fraction form
    4,283,546/9,348,421 = 9,348,421/x
  3. Step 3: Cross multiply
    4,283,546x = 9,348,421 × 9,348,421
  4. Step 4: Simplify right side
    4,283,546x = 87,392,975,193,241
  5. Step 5: Solve for x
    x = 87,392,975,193,241/4,283,546
  6. Step 6: Final answer
    x = 20,402,016.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.