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Finding the Third Proportional to 283,622,168 and 616,937,080

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Solution

The third proportional to 283,622,168 and 616,937,080 is: 1,341,966,191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,622,168 : 616,937,080 = 616,937,080 : x
  2. Step 2: Convert to fraction form
    283,622,168/616,937,080 = 616,937,080/x
  3. Step 3: Cross multiply
    283,622,168x = 616,937,080 × 616,937,080
  4. Step 4: Simplify right side
    283,622,168x = 380,611,360,678,926,400
  5. Step 5: Solve for x
    x = 380,611,360,678,926,400/283,622,168
  6. Step 6: Final answer
    x = 1,341,966,191.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.