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Finding the Third Proportional to 309,091,104 and 643,563,072

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Solution

The third proportional to 309,091,104 and 643,563,072 is: 1,339,972,009.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,091,104 : 643,563,072 = 643,563,072 : x
  2. Step 2: Convert to fraction form
    309,091,104/643,563,072 = 643,563,072/x
  3. Step 3: Cross multiply
    309,091,104x = 643,563,072 × 643,563,072
  4. Step 4: Simplify right side
    309,091,104x = 414,173,427,642,077,184
  5. Step 5: Solve for x
    x = 414,173,427,642,077,184/309,091,104
  6. Step 6: Final answer
    x = 1,339,972,009.17

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.