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Finding the Third Proportional to 9,575,576 and 20,478,255

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Solution

The third proportional to 9,575,576 and 20,478,255 is: 43,794,642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575,576 : 20,478,255 = 20,478,255 : x
  2. Step 2: Convert to fraction form
    9,575,576/20,478,255 = 20,478,255/x
  3. Step 3: Cross multiply
    9,575,576x = 20,478,255 × 20,478,255
  4. Step 4: Simplify right side
    9,575,576x = 419,358,927,845,025
  5. Step 5: Solve for x
    x = 419,358,927,845,025/9,575,576
  6. Step 6: Final answer
    x = 43,794,642.52

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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.