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Finding the Third Proportional to 852,663,299 and 1,855,470,034

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Solution

The third proportional to 852,663,299 and 1,855,470,034 is: 4,037,665,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,663,299 : 1,855,470,034 = 1,855,470,034 : x
  2. Step 2: Convert to fraction form
    852,663,299/1,855,470,034 = 1,855,470,034/x
  3. Step 3: Cross multiply
    852,663,299x = 1,855,470,034 × 1,855,470,034
  4. Step 4: Simplify right side
    852,663,299x = 3,442,769,047,071,961,088
  5. Step 5: Solve for x
    x = 3,442,769,047,071,961,088/852,663,299
  6. Step 6: Final answer
    x = 4,037,665,337.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.