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Finding the Third Proportional to 838,895,968 and 1,302,511,638

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Solution

The third proportional to 838,895,968 and 1,302,511,638 is: 2,022,344,404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,895,968 : 1,302,511,638 = 1,302,511,638 : x
  2. Step 2: Convert to fraction form
    838,895,968/1,302,511,638 = 1,302,511,638/x
  3. Step 3: Cross multiply
    838,895,968x = 1,302,511,638 × 1,302,511,638
  4. Step 4: Simplify right side
    838,895,968x = 1,696,536,567,125,443,072
  5. Step 5: Solve for x
    x = 1,696,536,567,125,443,072/838,895,968
  6. Step 6: Final answer
    x = 2,022,344,404.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.