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Finding the Third Proportional to 1,414,002,128 and 3,072,762,364

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Solution

The third proportional to 1,414,002,128 and 3,072,762,364 is: 6,677,407,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,002,128 : 3,072,762,364 = 3,072,762,364 : x
  2. Step 2: Convert to fraction form
    1,414,002,128/3,072,762,364 = 3,072,762,364/x
  3. Step 3: Cross multiply
    1,414,002,128x = 3,072,762,364 × 3,072,762,364
  4. Step 4: Simplify right side
    1,414,002,128x = 9,441,868,545,614,868,480
  5. Step 5: Solve for x
    x = 9,441,868,545,614,868,480/1,414,002,128
  6. Step 6: Final answer
    x = 6,677,407,592.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.