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Finding the Third Proportional to 9,816,930 and 22,928,307

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Solution

The third proportional to 9,816,930 and 22,928,307 is: 53,551,085.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816,930 : 22,928,307 = 22,928,307 : x
  2. Step 2: Convert to fraction form
    9,816,930/22,928,307 = 22,928,307/x
  3. Step 3: Cross multiply
    9,816,930x = 22,928,307 × 22,928,307
  4. Step 4: Simplify right side
    9,816,930x = 525,707,261,886,249
  5. Step 5: Solve for x
    x = 525,707,261,886,249/9,816,930
  6. Step 6: Final answer
    x = 53,551,085.92

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.