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Finding the Third Proportional to 624,531,215 and 1,371,629,684

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Solution

The third proportional to 624,531,215 and 1,371,629,684 is: 3,012,448,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,531,215 : 1,371,629,684 = 1,371,629,684 : x
  2. Step 2: Convert to fraction form
    624,531,215/1,371,629,684 = 1,371,629,684/x
  3. Step 3: Cross multiply
    624,531,215x = 1,371,629,684 × 1,371,629,684
  4. Step 4: Simplify right side
    624,531,215x = 1,881,367,990,029,939,968
  5. Step 5: Solve for x
    x = 1,881,367,990,029,939,968/624,531,215
  6. Step 6: Final answer
    x = 3,012,448,288.96

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Why These Related Problems?

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