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Finding the Third Proportional to 4,505,291 and 9,829,258

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Solution

The third proportional to 4,505,291 and 9,829,258 is: 21,444,633.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505,291 : 9,829,258 = 9,829,258 : x
  2. Step 2: Convert to fraction form
    4,505,291/9,829,258 = 9,829,258/x
  3. Step 3: Cross multiply
    4,505,291x = 9,829,258 × 9,829,258
  4. Step 4: Simplify right side
    4,505,291x = 96,614,312,830,564
  5. Step 5: Solve for x
    x = 96,614,312,830,564/4,505,291
  6. Step 6: Final answer
    x = 21,444,633.17

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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.