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Finding the Third Proportional to 921,765,082 and 1,347,652,770

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Solution

The third proportional to 921,765,082 and 1,347,652,770 is: 1,970,315,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,765,082 : 1,347,652,770 = 1,347,652,770 : x
  2. Step 2: Convert to fraction form
    921,765,082/1,347,652,770 = 1,347,652,770/x
  3. Step 3: Cross multiply
    921,765,082x = 1,347,652,770 × 1,347,652,770
  4. Step 4: Simplify right side
    921,765,082x = 1,816,167,988,488,673,024
  5. Step 5: Solve for x
    x = 1,816,167,988,488,673,024/921,765,082
  6. Step 6: Final answer
    x = 1,970,315,456.68

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.