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Finding the Third Proportional to 452,753,444 and 970,106,440

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Solution

The third proportional to 452,753,444 and 970,106,440 is: 2,078,629,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,753,444 : 970,106,440 = 970,106,440 : x
  2. Step 2: Convert to fraction form
    452,753,444/970,106,440 = 970,106,440/x
  3. Step 3: Cross multiply
    452,753,444x = 970,106,440 × 970,106,440
  4. Step 4: Simplify right side
    452,753,444x = 941,106,504,929,473,536
  5. Step 5: Solve for x
    x = 941,106,504,929,473,536/452,753,444
  6. Step 6: Final answer
    x = 2,078,629,146.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.