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Finding the Third Proportional to 3,029,265 and 6,484,146

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Solution

The third proportional to 3,029,265 and 6,484,146 is: 13,879,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,265 : 6,484,146 = 6,484,146 : x
  2. Step 2: Convert to fraction form
    3,029,265/6,484,146 = 6,484,146/x
  3. Step 3: Cross multiply
    3,029,265x = 6,484,146 × 6,484,146
  4. Step 4: Simplify right side
    3,029,265x = 42,044,149,349,316
  5. Step 5: Solve for x
    x = 42,044,149,349,316/3,029,265
  6. Step 6: Final answer
    x = 13,879,323.65

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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.