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Finding the Third Proportional to 49,564,424 and 69,674,378

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Solution

The third proportional to 49,564,424 and 69,674,378 is: 97,943,616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,564,424 : 69,674,378 = 69,674,378 : x
  2. Step 2: Convert to fraction form
    49,564,424/69,674,378 = 69,674,378/x
  3. Step 3: Cross multiply
    49,564,424x = 69,674,378 × 69,674,378
  4. Step 4: Simplify right side
    49,564,424x = 4,854,518,949,686,884
  5. Step 5: Solve for x
    x = 4,854,518,949,686,884/49,564,424
  6. Step 6: Final answer
    x = 97,943,616.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.