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Finding the Third Proportional to 6,968,909.67 and 14,946,402.23

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Solution

The third proportional to 6,968,909.67 and 14,946,402.23 is: 32,055,938.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968,909.67 : 14,946,402.23 = 14,946,402.23 : x
  2. Step 2: Convert to fraction form
    6,968,909.67/14,946,402.23 = 14,946,402.23/x
  3. Step 3: Cross multiply
    6,968,909.67x = 14,946,402.23 × 14,946,402.23
  4. Step 4: Simplify right side
    6,968,909.67x = 223,394,939,751,730
  5. Step 5: Solve for x
    x = 223,394,939,751,730/6,968,909.67
  6. Step 6: Final answer
    x = 32,055,938.49

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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.