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Finding the Third Proportional to 6,486,677,416 and 14,162,365,544

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Solution

The third proportional to 6,486,677,416 and 14,162,365,544 is: 30,920,698,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486,677,416 : 14,162,365,544 = 14,162,365,544 : x
  2. Step 2: Convert to fraction form
    6,486,677,416/14,162,365,544 = 14,162,365,544/x
  3. Step 3: Cross multiply
    6,486,677,416x = 14,162,365,544 × 14,162,365,544
  4. Step 4: Simplify right side
    6,486,677,416x = 200,572,597,801,878,421,504
  5. Step 5: Solve for x
    x = 200,572,597,801,878,421,504/6,486,677,416
  6. Step 6: Final answer
    x = 30,920,698,678.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.