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Finding the Third Proportional to 776,842,542 and 1,664,216,064

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Solution

The third proportional to 776,842,542 and 1,664,216,064 is: 3,565,220,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,842,542 : 1,664,216,064 = 1,664,216,064 : x
  2. Step 2: Convert to fraction form
    776,842,542/1,664,216,064 = 1,664,216,064/x
  3. Step 3: Cross multiply
    776,842,542x = 1,664,216,064 × 1,664,216,064
  4. Step 4: Simplify right side
    776,842,542x = 2,769,615,107,675,652,096
  5. Step 5: Solve for x
    x = 2,769,615,107,675,652,096/776,842,542
  6. Step 6: Final answer
    x = 3,565,220,695.23

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