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Finding the Third Proportional to 624,531,213 and 1,371,629,679.75

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Solution

The third proportional to 624,531,213 and 1,371,629,679.75 is: 3,012,448,279.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,531,213 : 1,371,629,679.75 = 1,371,629,679.75 : x
  2. Step 2: Convert to fraction form
    624,531,213/1,371,629,679.75 = 1,371,629,679.75/x
  3. Step 3: Cross multiply
    624,531,213x = 1,371,629,679.75 × 1,371,629,679.75
  4. Step 4: Simplify right side
    624,531,213x = 1,881,367,978,371,087,616
  5. Step 5: Solve for x
    x = 1,881,367,978,371,087,616/624,531,213
  6. Step 6: Final answer
    x = 3,012,448,279.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.