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Finding the Third Proportional to 9,305,970,892,700.80 and 20,364,990,744,486

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Solution

The third proportional to 9,305,970,892,700.80 and 20,364,990,744,486 is: 44,566,316,916,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305,970,892,700.80 : 20,364,990,744,486 = 20,364,990,744,486 : x
  2. Step 2: Convert to fraction form
    9,305,970,892,700.80/20,364,990,744,486 = 20,364,990,744,486/x
  3. Step 3: Cross multiply
    9,305,970,892,700.80x = 20,364,990,744,486 × 20,364,990,744,486
  4. Step 4: Simplify right side
    9,305,970,892,700.80x = 414,732,848,023,000,419,957,473,280
  5. Step 5: Solve for x
    x = 414,732,848,023,000,419,957,473,280/9,305,970,892,700.80
  6. Step 6: Final answer
    x = 44,566,316,916,840.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.