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Finding the Third Proportional to 3,137,135 and 6,849,937

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Solution

The third proportional to 3,137,135 and 6,849,937 is: 14,956,843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137,135 : 6,849,937 = 6,849,937 : x
  2. Step 2: Convert to fraction form
    3,137,135/6,849,937 = 6,849,937/x
  3. Step 3: Cross multiply
    3,137,135x = 6,849,937 × 6,849,937
  4. Step 4: Simplify right side
    3,137,135x = 46,921,636,903,969
  5. Step 5: Solve for x
    x = 46,921,636,903,969/3,137,135
  6. Step 6: Final answer
    x = 14,956,843.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.