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Finding the Third Proportional to 649,583,848 and 1,333,604,108

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Solution

The third proportional to 649,583,848 and 1,333,604,108 is: 2,737,906,618.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,583,848 : 1,333,604,108 = 1,333,604,108 : x
  2. Step 2: Convert to fraction form
    649,583,848/1,333,604,108 = 1,333,604,108/x
  3. Step 3: Cross multiply
    649,583,848x = 1,333,604,108 × 1,333,604,108
  4. Step 4: Simplify right side
    649,583,848x = 1,778,499,916,874,475,776
  5. Step 5: Solve for x
    x = 1,778,499,916,874,475,776/649,583,848
  6. Step 6: Final answer
    x = 2,737,906,618.75

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