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Finding the Third Proportional to 11,658,223.13 and 18,286,030.13

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Solution

The third proportional to 11,658,223.13 and 18,286,030.13 is: 28,681,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658,223.13 : 18,286,030.13 = 18,286,030.13 : x
  2. Step 2: Convert to fraction form
    11,658,223.13/18,286,030.13 = 18,286,030.13/x
  3. Step 3: Cross multiply
    11,658,223.13x = 18,286,030.13 × 18,286,030.13
  4. Step 4: Simplify right side
    11,658,223.13x = 334,378,897,732,407.50
  5. Step 5: Solve for x
    x = 334,378,897,732,407.50/11,658,223.13
  6. Step 6: Final answer
    x = 28,681,806.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.