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Finding the Third Proportional to 10,920,716.16 and 23,697,784.41

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Solution

The third proportional to 10,920,716.16 and 23,697,784.41 is: 51,423,824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920,716.16 : 23,697,784.41 = 23,697,784.41 : x
  2. Step 2: Convert to fraction form
    10,920,716.16/23,697,784.41 = 23,697,784.41/x
  3. Step 3: Cross multiply
    10,920,716.16x = 23,697,784.41 × 23,697,784.41
  4. Step 4: Simplify right side
    10,920,716.16x = 561,584,985,765,105.69
  5. Step 5: Solve for x
    x = 561,584,985,765,105.69/10,920,716.16
  6. Step 6: Final answer
    x = 51,423,824.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.