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Finding the Third Proportional to 103,633,921 and 221,616,746

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Solution

The third proportional to 103,633,921 and 221,616,746 is: 473,918,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,921 : 221,616,746 = 221,616,746 : x
  2. Step 2: Convert to fraction form
    103,633,921/221,616,746 = 221,616,746/x
  3. Step 3: Cross multiply
    103,633,921x = 221,616,746 × 221,616,746
  4. Step 4: Simplify right side
    103,633,921x = 49,113,982,107,628,512
  5. Step 5: Solve for x
    x = 49,113,982,107,628,512/103,633,921
  6. Step 6: Final answer
    x = 473,918,014.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.