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Finding the Third Proportional to 3,346,964 and 6,870,348

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Solution

The third proportional to 3,346,964 and 6,870,348 is: 14,102,835.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346,964 : 6,870,348 = 6,870,348 : x
  2. Step 2: Convert to fraction form
    3,346,964/6,870,348 = 6,870,348/x
  3. Step 3: Cross multiply
    3,346,964x = 6,870,348 × 6,870,348
  4. Step 4: Simplify right side
    3,346,964x = 47,201,681,641,104
  5. Step 5: Solve for x
    x = 47,201,681,641,104/3,346,964
  6. Step 6: Final answer
    x = 14,102,835.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.