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Finding the Third Proportional to 10,649,664 and 23,326,483

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Solution

The third proportional to 10,649,664 and 23,326,483 is: 51,093,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649,664 : 23,326,483 = 23,326,483 : x
  2. Step 2: Convert to fraction form
    10,649,664/23,326,483 = 23,326,483/x
  3. Step 3: Cross multiply
    10,649,664x = 23,326,483 × 23,326,483
  4. Step 4: Simplify right side
    10,649,664x = 544,124,809,149,289
  5. Step 5: Solve for x
    x = 544,124,809,149,289/10,649,664
  6. Step 6: Final answer
    x = 51,093,143.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.