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Finding the Third Proportional to 612,069,013 and 1,328,055,492

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Solution

The third proportional to 612,069,013 and 1,328,055,492 is: 2,881,589,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,069,013 : 1,328,055,492 = 1,328,055,492 : x
  2. Step 2: Convert to fraction form
    612,069,013/1,328,055,492 = 1,328,055,492/x
  3. Step 3: Cross multiply
    612,069,013x = 1,328,055,492 × 1,328,055,492
  4. Step 4: Simplify right side
    612,069,013x = 1,763,731,389,831,362,048
  5. Step 5: Solve for x
    x = 1,763,731,389,831,362,048/612,069,013
  6. Step 6: Final answer
    x = 2,881,589,089.42

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Why These Related Problems?

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