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Finding the Third Proportional to 758,818,833.75 and 1,692,114,563.25

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Solution

The third proportional to 758,818,833.75 and 1,692,114,563.25 is: 3,773,300,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,818,833.75 : 1,692,114,563.25 = 1,692,114,563.25 : x
  2. Step 2: Convert to fraction form
    758,818,833.75/1,692,114,563.25 = 1,692,114,563.25/x
  3. Step 3: Cross multiply
    758,818,833.75x = 1,692,114,563.25 × 1,692,114,563.25
  4. Step 4: Simplify right side
    758,818,833.75x = 2,863,251,695,162,738,176
  5. Step 5: Solve for x
    x = 2,863,251,695,162,738,176/758,818,833.75
  6. Step 6: Final answer
    x = 3,773,300,777.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.