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Finding the Third Proportional to 7,798,036 and 17,389,048

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Solution

The third proportional to 7,798,036 and 17,389,048 is: 38,776,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798,036 : 17,389,048 = 17,389,048 : x
  2. Step 2: Convert to fraction form
    7,798,036/17,389,048 = 17,389,048/x
  3. Step 3: Cross multiply
    7,798,036x = 17,389,048 × 17,389,048
  4. Step 4: Simplify right side
    7,798,036x = 302,378,990,346,304
  5. Step 5: Solve for x
    x = 302,378,990,346,304/7,798,036
  6. Step 6: Final answer
    x = 38,776,300.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.