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Finding the Third Proportional to 2,000,541,523,755.60 and 2,699,200,195,870.80

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Solution

The third proportional to 2,000,541,523,755.60 and 2,699,200,195,870.80 is: 3,641,854,773,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,541,523,755.60 : 2,699,200,195,870.80 = 2,699,200,195,870.80 : x
  2. Step 2: Convert to fraction form
    2,000,541,523,755.60/2,699,200,195,870.80 = 2,699,200,195,870.80/x
  3. Step 3: Cross multiply
    2,000,541,523,755.60x = 2,699,200,195,870.80 × 2,699,200,195,870.80
  4. Step 4: Simplify right side
    2,000,541,523,755.60x = 7,285,681,697,388,964,442,275,840
  5. Step 5: Solve for x
    x = 7,285,681,697,388,964,442,275,840/2,000,541,523,755.60
  6. Step 6: Final answer
    x = 3,641,854,773,257.40

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.