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Finding the Third Proportional to 4,693,038 and 11,302,065

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Solution

The third proportional to 4,693,038 and 11,302,065 is: 27,218,333.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693,038 : 11,302,065 = 11,302,065 : x
  2. Step 2: Convert to fraction form
    4,693,038/11,302,065 = 11,302,065/x
  3. Step 3: Cross multiply
    4,693,038x = 11,302,065 × 11,302,065
  4. Step 4: Simplify right side
    4,693,038x = 127,736,673,264,225
  5. Step 5: Solve for x
    x = 127,736,673,264,225/4,693,038
  6. Step 6: Final answer
    x = 27,218,333.47

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.