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Finding the Third Proportional to 1,677,648,672 and 3,677,783,616

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Solution

The third proportional to 1,677,648,672 and 3,677,783,616 is: 8,062,529,748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677,648,672 : 3,677,783,616 = 3,677,783,616 : x
  2. Step 2: Convert to fraction form
    1,677,648,672/3,677,783,616 = 3,677,783,616/x
  3. Step 3: Cross multiply
    1,677,648,672x = 3,677,783,616 × 3,677,783,616
  4. Step 4: Simplify right side
    1,677,648,672x = 13,526,092,326,118,035,456
  5. Step 5: Solve for x
    x = 13,526,092,326,118,035,456/1,677,648,672
  6. Step 6: Final answer
    x = 8,062,529,748.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.