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Finding the Third Proportional to 10,675,913.12 and 22,108,852.86

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Solution

The third proportional to 10,675,913.12 and 22,108,852.86 is: 45,785,439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675,913.12 : 22,108,852.86 = 22,108,852.86 : x
  2. Step 2: Convert to fraction form
    10,675,913.12/22,108,852.86 = 22,108,852.86/x
  3. Step 3: Cross multiply
    10,675,913.12x = 22,108,852.86 × 22,108,852.86
  4. Step 4: Simplify right side
    10,675,913.12x = 488,801,374,930,208.50
  5. Step 5: Solve for x
    x = 488,801,374,930,208.50/10,675,913.12
  6. Step 6: Final answer
    x = 45,785,439.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.