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Finding the Third Proportional to 4,686,760 and 9,746,687

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Solution

The third proportional to 4,686,760 and 9,746,687 is: 20,269,420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686,760 : 9,746,687 = 9,746,687 : x
  2. Step 2: Convert to fraction form
    4,686,760/9,746,687 = 9,746,687/x
  3. Step 3: Cross multiply
    4,686,760x = 9,746,687 × 9,746,687
  4. Step 4: Simplify right side
    4,686,760x = 94,997,907,475,969
  5. Step 5: Solve for x
    x = 94,997,907,475,969/4,686,760
  6. Step 6: Final answer
    x = 20,269,420.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.