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Finding the Third Proportional to 11,865,958.13 and 17,830,530.94

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Solution

The third proportional to 11,865,958.13 and 17,830,530.94 is: 26,793,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865,958.13 : 17,830,530.94 = 17,830,530.94 : x
  2. Step 2: Convert to fraction form
    11,865,958.13/17,830,530.94 = 17,830,530.94/x
  3. Step 3: Cross multiply
    11,865,958.13x = 17,830,530.94 × 17,830,530.94
  4. Step 4: Simplify right side
    11,865,958.13x = 317,927,833,513,144.62
  5. Step 5: Solve for x
    x = 317,927,833,513,144.62/11,865,958.13
  6. Step 6: Final answer
    x = 26,793,271.15

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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.