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Finding the Third Proportional to 9,971,899.88 and 21,433,465.69

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Solution

The third proportional to 9,971,899.88 and 21,433,465.69 is: 46,068,799.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971,899.88 : 21,433,465.69 = 21,433,465.69 : x
  2. Step 2: Convert to fraction form
    9,971,899.88/21,433,465.69 = 21,433,465.69/x
  3. Step 3: Cross multiply
    9,971,899.88x = 21,433,465.69 × 21,433,465.69
  4. Step 4: Simplify right side
    9,971,899.88x = 459,393,451,377,239.88
  5. Step 5: Solve for x
    x = 459,393,451,377,239.88/9,971,899.88
  6. Step 6: Final answer
    x = 46,068,799.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.