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Finding the Third Proportional to 36,899,860,176 and 55,107,988,416

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Solution

The third proportional to 36,899,860,176 and 55,107,988,416 is: 82,300,864,360.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,899,860,176 : 55,107,988,416 = 55,107,988,416 : x
  2. Step 2: Convert to fraction form
    36,899,860,176/55,107,988,416 = 55,107,988,416/x
  3. Step 3: Cross multiply
    36,899,860,176x = 55,107,988,416 × 55,107,988,416
  4. Step 4: Simplify right side
    36,899,860,176x = 3,036,890,387,257,990,053,888
  5. Step 5: Solve for x
    x = 3,036,890,387,257,990,053,888/36,899,860,176
  6. Step 6: Final answer
    x = 82,300,864,360.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.