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Finding the Third Proportional to 316,237,892,770 and 481,766,554,939

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Solution

The third proportional to 316,237,892,770 and 481,766,554,939 is: 733,938,021,863.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,237,892,770 : 481,766,554,939 = 481,766,554,939 : x
  2. Step 2: Convert to fraction form
    316,237,892,770/481,766,554,939 = 481,766,554,939/x
  3. Step 3: Cross multiply
    316,237,892,770x = 481,766,554,939 × 481,766,554,939
  4. Step 4: Simplify right side
    316,237,892,770x = 232,099,013,457,792,498,401,280
  5. Step 5: Solve for x
    x = 232,099,013,457,792,498,401,280/316,237,892,770
  6. Step 6: Final answer
    x = 733,938,021,863.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.