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Finding the Third Proportional to 4,450,037,668 and 9,674,120,264

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Solution

The third proportional to 4,450,037,668 and 9,674,120,264 is: 21,030,968,693.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,450,037,668 : 9,674,120,264 = 9,674,120,264 : x
  2. Step 2: Convert to fraction form
    4,450,037,668/9,674,120,264 = 9,674,120,264/x
  3. Step 3: Cross multiply
    4,450,037,668x = 9,674,120,264 × 9,674,120,264
  4. Step 4: Simplify right side
    4,450,037,668x = 93,588,602,882,335,424,512
  5. Step 5: Solve for x
    x = 93,588,602,882,335,424,512/4,450,037,668
  6. Step 6: Final answer
    x = 21,030,968,693.89

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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.