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Finding the Third Proportional to 3,097,457 and 6,643,316

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Solution

The third proportional to 3,097,457 and 6,643,316 is: 14,248,348.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,457 : 6,643,316 = 6,643,316 : x
  2. Step 2: Convert to fraction form
    3,097,457/6,643,316 = 6,643,316/x
  3. Step 3: Cross multiply
    3,097,457x = 6,643,316 × 6,643,316
  4. Step 4: Simplify right side
    3,097,457x = 44,133,647,475,856
  5. Step 5: Solve for x
    x = 44,133,647,475,856/3,097,457
  6. Step 6: Final answer
    x = 14,248,348.72

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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.