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Finding the Third Proportional to 1,321,767,654 and 1,999,679,045

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Solution

The third proportional to 1,321,767,654 and 1,999,679,045 is: 3,025,279,269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321,767,654 : 1,999,679,045 = 1,999,679,045 : x
  2. Step 2: Convert to fraction form
    1,321,767,654/1,999,679,045 = 1,999,679,045/x
  3. Step 3: Cross multiply
    1,321,767,654x = 1,999,679,045 × 1,999,679,045
  4. Step 4: Simplify right side
    1,321,767,654x = 3,998,716,283,012,111,872
  5. Step 5: Solve for x
    x = 3,998,716,283,012,111,872/1,321,767,654
  6. Step 6: Final answer
    x = 3,025,279,269.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.