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Finding the Third Proportional to 2,929,747 and 6,426,768

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Solution

The third proportional to 2,929,747 and 6,426,768 is: 14,097,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929,747 : 6,426,768 = 6,426,768 : x
  2. Step 2: Convert to fraction form
    2,929,747/6,426,768 = 6,426,768/x
  3. Step 3: Cross multiply
    2,929,747x = 6,426,768 × 6,426,768
  4. Step 4: Simplify right side
    2,929,747x = 41,303,346,925,824
  5. Step 5: Solve for x
    x = 41,303,346,925,824/2,929,747
  6. Step 6: Final answer
    x = 14,097,922.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.