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Finding the Third Proportional to 30,638,200 and 47,441,148

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Solution

The third proportional to 30,638,200 and 47,441,148 is: 73,459,358.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638,200 : 47,441,148 = 47,441,148 : x
  2. Step 2: Convert to fraction form
    30,638,200/47,441,148 = 47,441,148/x
  3. Step 3: Cross multiply
    30,638,200x = 47,441,148 × 47,441,148
  4. Step 4: Simplify right side
    30,638,200x = 2,250,662,523,557,904
  5. Step 5: Solve for x
    x = 2,250,662,523,557,904/30,638,200
  6. Step 6: Final answer
    x = 73,459,358.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.