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Finding the Third Proportional to 10,649,643.75 and 23,326,443

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Solution

The third proportional to 10,649,643.75 and 23,326,443 is: 51,093,065.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649,643.75 : 23,326,443 = 23,326,443 : x
  2. Step 2: Convert to fraction form
    10,649,643.75/23,326,443 = 23,326,443/x
  3. Step 3: Cross multiply
    10,649,643.75x = 23,326,443 × 23,326,443
  4. Step 4: Simplify right side
    10,649,643.75x = 544,122,943,032,249
  5. Step 5: Solve for x
    x = 544,122,943,032,249/10,649,643.75
  6. Step 6: Final answer
    x = 51,093,065.25

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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.