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Finding the Third Proportional to 6,821,587,202 and 14,926,976,452

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Solution

The third proportional to 6,821,587,202 and 14,926,976,452 is: 32,663,164,656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821,587,202 : 14,926,976,452 = 14,926,976,452 : x
  2. Step 2: Convert to fraction form
    6,821,587,202/14,926,976,452 = 14,926,976,452/x
  3. Step 3: Cross multiply
    6,821,587,202x = 14,926,976,452 × 14,926,976,452
  4. Step 4: Simplify right side
    6,821,587,202x = 222,814,625,998,562,492,416
  5. Step 5: Solve for x
    x = 222,814,625,998,562,492,416/6,821,587,202
  6. Step 6: Final answer
    x = 32,663,164,656.64

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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.