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Finding the Third Proportional to 316,237,892,768 and 481,766,554,936

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Solution

The third proportional to 316,237,892,768 and 481,766,554,936 is: 733,938,021,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,237,892,768 : 481,766,554,936 = 481,766,554,936 : x
  2. Step 2: Convert to fraction form
    316,237,892,768/481,766,554,936 = 481,766,554,936/x
  3. Step 3: Cross multiply
    316,237,892,768x = 481,766,554,936 × 481,766,554,936
  4. Step 4: Simplify right side
    316,237,892,768x = 232,099,013,454,901,918,302,208
  5. Step 5: Solve for x
    x = 232,099,013,454,901,918,302,208/316,237,892,768
  6. Step 6: Final answer
    x = 733,938,021,858.68

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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.