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Finding the Third Proportional to 47,445,772 and 103,591,430

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Solution

The third proportional to 47,445,772 and 103,591,430 is: 226,177,885.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,445,772 : 103,591,430 = 103,591,430 : x
  2. Step 2: Convert to fraction form
    47,445,772/103,591,430 = 103,591,430/x
  3. Step 3: Cross multiply
    47,445,772x = 103,591,430 × 103,591,430
  4. Step 4: Simplify right side
    47,445,772x = 10,731,184,369,444,900
  5. Step 5: Solve for x
    x = 10,731,184,369,444,900/47,445,772
  6. Step 6: Final answer
    x = 226,177,885.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.