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Finding the Third Proportional to 1,671,499,211 and 2,511,460,817

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Solution

The third proportional to 1,671,499,211 and 2,511,460,817 is: 3,773,519,840.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671,499,211 : 2,511,460,817 = 2,511,460,817 : x
  2. Step 2: Convert to fraction form
    1,671,499,211/2,511,460,817 = 2,511,460,817/x
  3. Step 3: Cross multiply
    1,671,499,211x = 2,511,460,817 × 2,511,460,817
  4. Step 4: Simplify right side
    1,671,499,211x = 6,307,435,435,326,307,328
  5. Step 5: Solve for x
    x = 6,307,435,435,326,307,328/1,671,499,211
  6. Step 6: Final answer
    x = 3,773,519,840.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.