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Finding the Third Proportional to 5,971,244.63 and 9,006,348.38

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Solution

The third proportional to 5,971,244.63 and 9,006,348.38 is: 13,584,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971,244.63 : 9,006,348.38 = 9,006,348.38 : x
  2. Step 2: Convert to fraction form
    5,971,244.63/9,006,348.38 = 9,006,348.38/x
  3. Step 3: Cross multiply
    5,971,244.63x = 9,006,348.38 × 9,006,348.38
  4. Step 4: Simplify right side
    5,971,244.63x = 81,114,311,051,865.14
  5. Step 5: Solve for x
    x = 81,114,311,051,865.14/5,971,244.63
  6. Step 6: Final answer
    x = 13,584,154.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.