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Finding the Third Proportional to 11,849,982 and 17,697,321

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Solution

The third proportional to 11,849,982 and 17,697,321 is: 26,430,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849,982 : 17,697,321 = 17,697,321 : x
  2. Step 2: Convert to fraction form
    11,849,982/17,697,321 = 17,697,321/x
  3. Step 3: Cross multiply
    11,849,982x = 17,697,321 × 17,697,321
  4. Step 4: Simplify right side
    11,849,982x = 313,195,170,577,041
  5. Step 5: Solve for x
    x = 313,195,170,577,041/11,849,982
  6. Step 6: Final answer
    x = 26,430,012.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.