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Finding the Third Proportional to 7,618,824 and 16,270,914

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Solution

The third proportional to 7,618,824 and 16,270,914 is: 34,748,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,618,824 : 16,270,914 = 16,270,914 : x
  2. Step 2: Convert to fraction form
    7,618,824/16,270,914 = 16,270,914/x
  3. Step 3: Cross multiply
    7,618,824x = 16,270,914 × 16,270,914
  4. Step 4: Simplify right side
    7,618,824x = 264,742,642,395,396
  5. Step 5: Solve for x
    x = 264,742,642,395,396/7,618,824
  6. Step 6: Final answer
    x = 34,748,491.68

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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.