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Finding the Third Proportional to 795,089,082 and 1,700,717,868

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Solution

The third proportional to 795,089,082 and 1,700,717,868 is: 3,637,883,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,089,082 : 1,700,717,868 = 1,700,717,868 : x
  2. Step 2: Convert to fraction form
    795,089,082/1,700,717,868 = 1,700,717,868/x
  3. Step 3: Cross multiply
    795,089,082x = 1,700,717,868 × 1,700,717,868
  4. Step 4: Simplify right side
    795,089,082x = 2,892,441,266,534,465,536
  5. Step 5: Solve for x
    x = 2,892,441,266,534,465,536/795,089,082
  6. Step 6: Final answer
    x = 3,637,883,266.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.