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Finding the Third Proportional to 1,836,341,880 and 3,934,662,040

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Solution

The third proportional to 1,836,341,880 and 3,934,662,040 is: 8,430,655,281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836,341,880 : 3,934,662,040 = 3,934,662,040 : x
  2. Step 2: Convert to fraction form
    1,836,341,880/3,934,662,040 = 3,934,662,040/x
  3. Step 3: Cross multiply
    1,836,341,880x = 3,934,662,040 × 3,934,662,040
  4. Step 4: Simplify right side
    1,836,341,880x = 15,481,565,369,016,961,024
  5. Step 5: Solve for x
    x = 15,481,565,369,016,961,024/1,836,341,880
  6. Step 6: Final answer
    x = 8,430,655,281.37

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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.