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Finding the Third Proportional to 11,866,011.47 and 17,830,616.06

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Solution

The third proportional to 11,866,011.47 and 17,830,616.06 is: 26,793,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866,011.47 : 17,830,616.06 = 17,830,616.06 : x
  2. Step 2: Convert to fraction form
    11,866,011.47/17,830,616.06 = 17,830,616.06/x
  3. Step 3: Cross multiply
    11,866,011.47x = 17,830,616.06 × 17,830,616.06
  4. Step 4: Simplify right side
    11,866,011.47x = 317,930,869,168,283
  5. Step 5: Solve for x
    x = 317,930,869,168,283/11,866,011.47
  6. Step 6: Final answer
    x = 26,793,406.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.