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Finding the Third Proportional to 648,634,910 and 1,399,306,330

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Solution

The third proportional to 648,634,910 and 1,399,306,330 is: 3,018,737,004.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,634,910 : 1,399,306,330 = 1,399,306,330 : x
  2. Step 2: Convert to fraction form
    648,634,910/1,399,306,330 = 1,399,306,330/x
  3. Step 3: Cross multiply
    648,634,910x = 1,399,306,330 × 1,399,306,330
  4. Step 4: Simplify right side
    648,634,910x = 1,958,058,205,178,068,992
  5. Step 5: Solve for x
    x = 1,958,058,205,178,068,992/648,634,910
  6. Step 6: Final answer
    x = 3,018,737,004.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.