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Finding the Third Proportional to 649,583,844 and 1,333,604,100

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Solution

The third proportional to 649,583,844 and 1,333,604,100 is: 2,737,906,602.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,583,844 : 1,333,604,100 = 1,333,604,100 : x
  2. Step 2: Convert to fraction form
    649,583,844/1,333,604,100 = 1,333,604,100/x
  3. Step 3: Cross multiply
    649,583,844x = 1,333,604,100 × 1,333,604,100
  4. Step 4: Simplify right side
    649,583,844x = 1,778,499,895,536,809,984
  5. Step 5: Solve for x
    x = 1,778,499,895,536,809,984/649,583,844
  6. Step 6: Final answer
    x = 2,737,906,602.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.