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Finding the Third Proportional to 2,881,165,140 and 6,199,135,416

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Solution

The third proportional to 2,881,165,140 and 6,199,135,416 is: 13,338,103,870.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881,165,140 : 6,199,135,416 = 6,199,135,416 : x
  2. Step 2: Convert to fraction form
    2,881,165,140/6,199,135,416 = 6,199,135,416/x
  3. Step 3: Cross multiply
    2,881,165,140x = 6,199,135,416 × 6,199,135,416
  4. Step 4: Simplify right side
    2,881,165,140x = 38,429,279,905,905,491,968
  5. Step 5: Solve for x
    x = 38,429,279,905,905,491,968/2,881,165,140
  6. Step 6: Final answer
    x = 13,338,103,870.68

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