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Finding the Third Proportional to 4,214,698 and 9,946,008

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Solution

The third proportional to 4,214,698 and 9,946,008 is: 23,470,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214,698 : 9,946,008 = 9,946,008 : x
  2. Step 2: Convert to fraction form
    4,214,698/9,946,008 = 9,946,008/x
  3. Step 3: Cross multiply
    4,214,698x = 9,946,008 × 9,946,008
  4. Step 4: Simplify right side
    4,214,698x = 98,923,075,136,064
  5. Step 5: Solve for x
    x = 98,923,075,136,064/4,214,698
  6. Step 6: Final answer
    x = 23,470,975.89

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.