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Finding the Third Proportional to 3,196,863 and 6,849,715

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Solution

The third proportional to 3,196,863 and 6,849,715 is: 14,676,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196,863 : 6,849,715 = 6,849,715 : x
  2. Step 2: Convert to fraction form
    3,196,863/6,849,715 = 6,849,715/x
  3. Step 3: Cross multiply
    3,196,863x = 6,849,715 × 6,849,715
  4. Step 4: Simplify right side
    3,196,863x = 46,918,595,581,225
  5. Step 5: Solve for x
    x = 46,918,595,581,225/3,196,863
  6. Step 6: Final answer
    x = 14,676,448.63

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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.