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Finding the Third Proportional to 3,547,024 and 7,346,288

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Solution

The third proportional to 3,547,024 and 7,346,288 is: 15,214,993.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547,024 : 7,346,288 = 7,346,288 : x
  2. Step 2: Convert to fraction form
    3,547,024/7,346,288 = 7,346,288/x
  3. Step 3: Cross multiply
    3,547,024x = 7,346,288 × 7,346,288
  4. Step 4: Simplify right side
    3,547,024x = 53,967,947,378,944
  5. Step 5: Solve for x
    x = 53,967,947,378,944/3,547,024
  6. Step 6: Final answer
    x = 15,214,993.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.