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Finding the Third Proportional to 45,733,576,096 and 99,064,895,168

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Solution

The third proportional to 45,733,576,096 and 99,064,895,168 is: 214,587,493,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,733,576,096 : 99,064,895,168 = 99,064,895,168 : x
  2. Step 2: Convert to fraction form
    45,733,576,096/99,064,895,168 = 99,064,895,168/x
  3. Step 3: Cross multiply
    45,733,576,096x = 99,064,895,168 × 99,064,895,168
  4. Step 4: Simplify right side
    45,733,576,096x = 9,813,853,454,646,829,383,680
  5. Step 5: Solve for x
    x = 9,813,853,454,646,829,383,680/45,733,576,096
  6. Step 6: Final answer
    x = 214,587,493,312.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.