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Finding the Third Proportional to 9,089,968 and 19,456,780

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Solution

The third proportional to 9,089,968 and 19,456,780 is: 41,646,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089,968 : 19,456,780 = 19,456,780 : x
  2. Step 2: Convert to fraction form
    9,089,968/19,456,780 = 19,456,780/x
  3. Step 3: Cross multiply
    9,089,968x = 19,456,780 × 19,456,780
  4. Step 4: Simplify right side
    9,089,968x = 378,566,287,968,400
  5. Step 5: Solve for x
    x = 378,566,287,968,400/9,089,968
  6. Step 6: Final answer
    x = 41,646,602.93

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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.