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Finding the Third Proportional to 7,399,097,566 and 17,460,546,143

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Solution

The third proportional to 7,399,097,566 and 17,460,546,143 is: 41,203,764,228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,399,097,566 : 17,460,546,143 = 17,460,546,143 : x
  2. Step 2: Convert to fraction form
    7,399,097,566/17,460,546,143 = 17,460,546,143/x
  3. Step 3: Cross multiply
    7,399,097,566x = 17,460,546,143 × 17,460,546,143
  4. Step 4: Simplify right side
    7,399,097,566x = 304,870,671,611,832,172,544
  5. Step 5: Solve for x
    x = 304,870,671,611,832,172,544/7,399,097,566
  6. Step 6: Final answer
    x = 41,203,764,228.32

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.