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Finding the Third Proportional to 763,287,022 and 1,653,318,736

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Solution

The third proportional to 763,287,022 and 1,653,318,736 is: 3,581,172,958.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,287,022 : 1,653,318,736 = 1,653,318,736 : x
  2. Step 2: Convert to fraction form
    763,287,022/1,653,318,736 = 1,653,318,736/x
  3. Step 3: Cross multiply
    763,287,022x = 1,653,318,736 × 1,653,318,736
  4. Step 4: Simplify right side
    763,287,022x = 2,733,462,842,808,637,440
  5. Step 5: Solve for x
    x = 2,733,462,842,808,637,440/763,287,022
  6. Step 6: Final answer
    x = 3,581,172,958.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.