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Finding the Third Proportional to 385,917,739,393 and 583,840,040,000.75

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Solution

The third proportional to 385,917,739,393 and 583,840,040,000.75 is: 883,269,042,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,917,739,393 : 583,840,040,000.75 = 583,840,040,000.75 : x
  2. Step 2: Convert to fraction form
    385,917,739,393/583,840,040,000.75 = 583,840,040,000.75/x
  3. Step 3: Cross multiply
    385,917,739,393x = 583,840,040,000.75 × 583,840,040,000.75
  4. Step 4: Simplify right side
    385,917,739,393x = 340,869,192,308,077,335,937,024
  5. Step 5: Solve for x
    x = 340,869,192,308,077,335,937,024/385,917,739,393
  6. Step 6: Final answer
    x = 883,269,042,890.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.