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Finding the Third Proportional to 3,196,864 and 6,849,720

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Solution

The third proportional to 3,196,864 and 6,849,720 is: 14,676,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196,864 : 6,849,720 = 6,849,720 : x
  2. Step 2: Convert to fraction form
    3,196,864/6,849,720 = 6,849,720/x
  3. Step 3: Cross multiply
    3,196,864x = 6,849,720 × 6,849,720
  4. Step 4: Simplify right side
    3,196,864x = 46,918,664,078,400
  5. Step 5: Solve for x
    x = 46,918,664,078,400/3,196,864
  6. Step 6: Final answer
    x = 14,676,465.46

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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.