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Finding the Third Proportional to 47,971,116 and 68,368,536

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Solution

The third proportional to 47,971,116 and 68,368,536 is: 97,438,982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,971,116 : 68,368,536 = 68,368,536 : x
  2. Step 2: Convert to fraction form
    47,971,116/68,368,536 = 68,368,536/x
  3. Step 3: Cross multiply
    47,971,116x = 68,368,536 × 68,368,536
  4. Step 4: Simplify right side
    47,971,116x = 4,674,256,714,783,296
  5. Step 5: Solve for x
    x = 4,674,256,714,783,296/47,971,116
  6. Step 6: Final answer
    x = 97,438,982.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.