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Finding the Third Proportional to 517,082,220 and 1,105,828,056

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Solution

The third proportional to 517,082,220 and 1,105,828,056 is: 2,364,915,369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,082,220 : 1,105,828,056 = 1,105,828,056 : x
  2. Step 2: Convert to fraction form
    517,082,220/1,105,828,056 = 1,105,828,056/x
  3. Step 3: Cross multiply
    517,082,220x = 1,105,828,056 × 1,105,828,056
  4. Step 4: Simplify right side
    517,082,220x = 1,222,855,689,436,739,072
  5. Step 5: Solve for x
    x = 1,222,855,689,436,739,072/517,082,220
  6. Step 6: Final answer
    x = 2,364,915,369.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.