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Finding the Third Proportional to 47,772,220 and 97,549,592

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Solution

The third proportional to 47,772,220 and 97,549,592 is: 199,193,650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,772,220 : 97,549,592 = 97,549,592 : x
  2. Step 2: Convert to fraction form
    47,772,220/97,549,592 = 97,549,592/x
  3. Step 3: Cross multiply
    47,772,220x = 97,549,592 × 97,549,592
  4. Step 4: Simplify right side
    47,772,220x = 9,515,922,899,366,464
  5. Step 5: Solve for x
    x = 9,515,922,899,366,464/47,772,220
  6. Step 6: Final answer
    x = 199,193,650.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.