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Finding the Third Proportional to 452,753,442 and 970,106,436

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Solution

The third proportional to 452,753,442 and 970,106,436 is: 2,078,629,138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,753,442 : 970,106,436 = 970,106,436 : x
  2. Step 2: Convert to fraction form
    452,753,442/970,106,436 = 970,106,436/x
  3. Step 3: Cross multiply
    452,753,442x = 970,106,436 × 970,106,436
  4. Step 4: Simplify right side
    452,753,442x = 941,106,497,168,622,080
  5. Step 5: Solve for x
    x = 941,106,497,168,622,080/452,753,442
  6. Step 6: Final answer
    x = 2,078,629,138.66

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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.