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Finding the Third Proportional to 3,029,310 and 6,484,164

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Solution

The third proportional to 3,029,310 and 6,484,164 is: 13,879,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,310 : 6,484,164 = 6,484,164 : x
  2. Step 2: Convert to fraction form
    3,029,310/6,484,164 = 6,484,164/x
  3. Step 3: Cross multiply
    3,029,310x = 6,484,164 × 6,484,164
  4. Step 4: Simplify right side
    3,029,310x = 42,044,382,778,896
  5. Step 5: Solve for x
    x = 42,044,382,778,896/3,029,310
  6. Step 6: Final answer
    x = 13,879,194.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.