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Finding the Third Proportional to 3,025,433,378 and 6,475,868,236

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Solution

The third proportional to 3,025,433,378 and 6,475,868,236 is: 13,861,442,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025,433,378 : 6,475,868,236 = 6,475,868,236 : x
  2. Step 2: Convert to fraction form
    3,025,433,378/6,475,868,236 = 6,475,868,236/x
  3. Step 3: Cross multiply
    3,025,433,378x = 6,475,868,236 × 6,475,868,236
  4. Step 4: Simplify right side
    3,025,433,378x = 41,936,869,410,033,754,112
  5. Step 5: Solve for x
    x = 41,936,869,410,033,754,112/3,025,433,378
  6. Step 6: Final answer
    x = 13,861,442,038.35

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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.