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Finding the Third Proportional to 47,772,221 and 97,549,594

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Solution

The third proportional to 47,772,221 and 97,549,594 is: 199,193,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,772,221 : 97,549,594 = 97,549,594 : x
  2. Step 2: Convert to fraction form
    47,772,221/97,549,594 = 97,549,594/x
  3. Step 3: Cross multiply
    47,772,221x = 97,549,594 × 97,549,594
  4. Step 4: Simplify right side
    47,772,221x = 9,515,923,289,564,836
  5. Step 5: Solve for x
    x = 9,515,923,289,564,836/47,772,221
  6. Step 6: Final answer
    x = 199,193,654.60

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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.