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Finding the Third Proportional to 1,941,662,434 and 4,279,097,510

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Solution

The third proportional to 1,941,662,434 and 4,279,097,510 is: 9,430,411,372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941,662,434 : 4,279,097,510 = 4,279,097,510 : x
  2. Step 2: Convert to fraction form
    1,941,662,434/4,279,097,510 = 4,279,097,510/x
  3. Step 3: Cross multiply
    1,941,662,434x = 4,279,097,510 × 4,279,097,510
  4. Step 4: Simplify right side
    1,941,662,434x = 18,310,675,500,088,199,168
  5. Step 5: Solve for x
    x = 18,310,675,500,088,199,168/1,941,662,434
  6. Step 6: Final answer
    x = 9,430,411,372.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.