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Finding the Third Proportional to 5,769,760,236.75 and 8,620,675,767

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Solution

The third proportional to 5,769,760,236.75 and 8,620,675,767 is: 12,880,266,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769,760,236.75 : 8,620,675,767 = 8,620,675,767 : x
  2. Step 2: Convert to fraction form
    5,769,760,236.75/8,620,675,767 = 8,620,675,767/x
  3. Step 3: Cross multiply
    5,769,760,236.75x = 8,620,675,767 × 8,620,675,767
  4. Step 4: Simplify right side
    5,769,760,236.75x = 74,316,050,679,741,038,592
  5. Step 5: Solve for x
    x = 74,316,050,679,741,038,592/5,769,760,236.75
  6. Step 6: Final answer
    x = 12,880,266,706.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.