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Finding the Third Proportional to 512,207,701 and 1,102,101,118

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Solution

The third proportional to 512,207,701 and 1,102,101,118 is: 2,371,356,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,207,701 : 1,102,101,118 = 1,102,101,118 : x
  2. Step 2: Convert to fraction form
    512,207,701/1,102,101,118 = 1,102,101,118/x
  3. Step 3: Cross multiply
    512,207,701x = 1,102,101,118 × 1,102,101,118
  4. Step 4: Simplify right side
    512,207,701x = 1,214,626,874,296,849,920
  5. Step 5: Solve for x
    x = 1,214,626,874,296,849,920/512,207,701
  6. Step 6: Final answer
    x = 2,371,356,135.27

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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.