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Finding the Third Proportional to 921,765,033 and 1,347,652,701

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Solution

The third proportional to 921,765,033 and 1,347,652,701 is: 1,970,315,359.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,765,033 : 1,347,652,701 = 1,347,652,701 : x
  2. Step 2: Convert to fraction form
    921,765,033/1,347,652,701 = 1,347,652,701/x
  3. Step 3: Cross multiply
    921,765,033x = 1,347,652,701 × 1,347,652,701
  4. Step 4: Simplify right side
    921,765,033x = 1,816,167,802,512,595,456
  5. Step 5: Solve for x
    x = 1,816,167,802,512,595,456/921,765,033
  6. Step 6: Final answer
    x = 1,970,315,359.65

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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.