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Finding the Third Proportional to 3,089,266,366,756 and 6,650,668,800,584

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Solution

The third proportional to 3,089,266,366,756 and 6,650,668,800,584 is: 14,317,766,823,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089,266,366,756 : 6,650,668,800,584 = 6,650,668,800,584 : x
  2. Step 2: Convert to fraction form
    3,089,266,366,756/6,650,668,800,584 = 6,650,668,800,584/x
  3. Step 3: Cross multiply
    3,089,266,366,756x = 6,650,668,800,584 × 6,650,668,800,584
  4. Step 4: Simplify right side
    3,089,266,366,756x = 44,231,395,495,061,420,423,249,920
  5. Step 5: Solve for x
    x = 44,231,395,495,061,420,423,249,920/3,089,266,366,756
  6. Step 6: Final answer
    x = 14,317,766,823,554.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.