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Finding the Third Proportional to 9,891,260 and 21,089,032

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Solution

The third proportional to 9,891,260 and 21,089,032 is: 44,963,661.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891,260 : 21,089,032 = 21,089,032 : x
  2. Step 2: Convert to fraction form
    9,891,260/21,089,032 = 21,089,032/x
  3. Step 3: Cross multiply
    9,891,260x = 21,089,032 × 21,089,032
  4. Step 4: Simplify right side
    9,891,260x = 444,747,270,697,024
  5. Step 5: Solve for x
    x = 444,747,270,697,024/9,891,260
  6. Step 6: Final answer
    x = 44,963,661.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.