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Finding the Third Proportional to 517,082,196 and 1,105,828,008

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Solution

The third proportional to 517,082,196 and 1,105,828,008 is: 2,364,915,274.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,082,196 : 1,105,828,008 = 1,105,828,008 : x
  2. Step 2: Convert to fraction form
    517,082,196/1,105,828,008 = 1,105,828,008/x
  3. Step 3: Cross multiply
    517,082,196x = 1,105,828,008 × 1,105,828,008
  4. Step 4: Simplify right side
    517,082,196x = 1,222,855,583,277,248,000
  5. Step 5: Solve for x
    x = 1,222,855,583,277,248,000/517,082,196
  6. Step 6: Final answer
    x = 2,364,915,274.08

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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.