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Finding the Third Proportional to 1,368,672,080 and 2,809,900,913

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Solution

The third proportional to 1,368,672,080 and 2,809,900,913 is: 5,768,761,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368,672,080 : 2,809,900,913 = 2,809,900,913 : x
  2. Step 2: Convert to fraction form
    1,368,672,080/2,809,900,913 = 2,809,900,913/x
  3. Step 3: Cross multiply
    1,368,672,080x = 2,809,900,913 × 2,809,900,913
  4. Step 4: Simplify right side
    1,368,672,080x = 7,895,543,140,878,233,600
  5. Step 5: Solve for x
    x = 7,895,543,140,878,233,600/1,368,672,080
  6. Step 6: Final answer
    x = 5,768,761,748.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.