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Finding the Third Proportional to 11,009,362 and 23,022,557

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Solution

The third proportional to 11,009,362 and 23,022,557 is: 48,144,309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009,362 : 23,022,557 = 23,022,557 : x
  2. Step 2: Convert to fraction form
    11,009,362/23,022,557 = 23,022,557/x
  3. Step 3: Cross multiply
    11,009,362x = 23,022,557 × 23,022,557
  4. Step 4: Simplify right side
    11,009,362x = 530,038,130,818,249
  5. Step 5: Solve for x
    x = 530,038,130,818,249/11,009,362
  6. Step 6: Final answer
    x = 48,144,309.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.