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Finding the Third Proportional to 2,621,830,858 and 5,617,629,732

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Solution

The third proportional to 2,621,830,858 and 5,617,629,732 is: 12,036,536,876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621,830,858 : 5,617,629,732 = 5,617,629,732 : x
  2. Step 2: Convert to fraction form
    2,621,830,858/5,617,629,732 = 5,617,629,732/x
  3. Step 3: Cross multiply
    2,621,830,858x = 5,617,629,732 × 5,617,629,732
  4. Step 4: Simplify right side
    2,621,830,858x = 31,557,763,805,850,390,528
  5. Step 5: Solve for x
    x = 31,557,763,805,850,390,528/2,621,830,858
  6. Step 6: Final answer
    x = 12,036,536,876.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.