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Finding the Third Proportional to 3,839,766 and 8,249,362

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Solution

The third proportional to 3,839,766 and 8,249,362 is: 17,722,948.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839,766 : 8,249,362 = 8,249,362 : x
  2. Step 2: Convert to fraction form
    3,839,766/8,249,362 = 8,249,362/x
  3. Step 3: Cross multiply
    3,839,766x = 8,249,362 × 8,249,362
  4. Step 4: Simplify right side
    3,839,766x = 68,051,973,407,044
  5. Step 5: Solve for x
    x = 68,051,973,407,044/3,839,766
  6. Step 6: Final answer
    x = 17,722,948.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.