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Finding the Third Proportional to 31,318,085 and 47,913,164

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Solution

The third proportional to 31,318,085 and 47,913,164 is: 73,301,777.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,318,085 : 47,913,164 = 47,913,164 : x
  2. Step 2: Convert to fraction form
    31,318,085/47,913,164 = 47,913,164/x
  3. Step 3: Cross multiply
    31,318,085x = 47,913,164 × 47,913,164
  4. Step 4: Simplify right side
    31,318,085x = 2,295,671,284,490,896
  5. Step 5: Solve for x
    x = 2,295,671,284,490,896/31,318,085
  6. Step 6: Final answer
    x = 73,301,777.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.