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Finding the Third Proportional to 5,684,719,294 and 12,676,539,780

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Solution

The third proportional to 5,684,719,294 and 12,676,539,780 is: 28,267,826,867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684,719,294 : 12,676,539,780 = 12,676,539,780 : x
  2. Step 2: Convert to fraction form
    5,684,719,294/12,676,539,780 = 12,676,539,780/x
  3. Step 3: Cross multiply
    5,684,719,294x = 12,676,539,780 × 12,676,539,780
  4. Step 4: Simplify right side
    5,684,719,294x = 160,694,660,793,922,453,504
  5. Step 5: Solve for x
    x = 160,694,660,793,922,453,504/5,684,719,294
  6. Step 6: Final answer
    x = 28,267,826,867.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.