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Finding the Third Proportional to 218,321,770 and 473,479,968

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Solution

The third proportional to 218,321,770 and 473,479,968 is: 1,026,848,033.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,321,770 : 473,479,968 = 473,479,968 : x
  2. Step 2: Convert to fraction form
    218,321,770/473,479,968 = 473,479,968/x
  3. Step 3: Cross multiply
    218,321,770x = 473,479,968 × 473,479,968
  4. Step 4: Simplify right side
    218,321,770x = 224,183,280,097,281,024
  5. Step 5: Solve for x
    x = 224,183,280,097,281,024/218,321,770
  6. Step 6: Final answer
    x = 1,026,848,033.05

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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.