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Finding the Third Proportional to 47,772,216 and 97,549,584

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Solution

The third proportional to 47,772,216 and 97,549,584 is: 199,193,634.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,772,216 : 97,549,584 = 97,549,584 : x
  2. Step 2: Convert to fraction form
    47,772,216/97,549,584 = 97,549,584/x
  3. Step 3: Cross multiply
    47,772,216x = 97,549,584 × 97,549,584
  4. Step 4: Simplify right side
    47,772,216x = 9,515,921,338,573,056
  5. Step 5: Solve for x
    x = 9,515,921,338,573,056/47,772,216
  6. Step 6: Final answer
    x = 199,193,634.61

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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.