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Finding the Third Proportional to 6,367,148 and 13,742,620

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Solution

The third proportional to 6,367,148 and 13,742,620 is: 29,661,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367,148 : 13,742,620 = 13,742,620 : x
  2. Step 2: Convert to fraction form
    6,367,148/13,742,620 = 13,742,620/x
  3. Step 3: Cross multiply
    6,367,148x = 13,742,620 × 13,742,620
  4. Step 4: Simplify right side
    6,367,148x = 188,859,604,464,400
  5. Step 5: Solve for x
    x = 188,859,604,464,400/6,367,148
  6. Step 6: Final answer
    x = 29,661,569.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.