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Finding the Third Proportional to 9,523,851.75 and 20,575,869.75

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Solution

The third proportional to 9,523,851.75 and 20,575,869.75 is: 44,453,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523,851.75 : 20,575,869.75 = 20,575,869.75 : x
  2. Step 2: Convert to fraction form
    9,523,851.75/20,575,869.75 = 20,575,869.75/x
  3. Step 3: Cross multiply
    9,523,851.75x = 20,575,869.75 × 20,575,869.75
  4. Step 4: Simplify right side
    9,523,851.75x = 423,366,415,968,965.06
  5. Step 5: Solve for x
    x = 423,366,415,968,965.06/9,523,851.75
  6. Step 6: Final answer
    x = 44,453,276.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.