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Finding the Third Proportional to 402,783,308 and 867,543,456

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Solution

The third proportional to 402,783,308 and 867,543,456 is: 1,868,577,056.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,783,308 : 867,543,456 = 867,543,456 : x
  2. Step 2: Convert to fraction form
    402,783,308/867,543,456 = 867,543,456/x
  3. Step 3: Cross multiply
    402,783,308x = 867,543,456 × 867,543,456
  4. Step 4: Simplify right side
    402,783,308x = 752,631,648,048,423,936
  5. Step 5: Solve for x
    x = 752,631,648,048,423,936/402,783,308
  6. Step 6: Final answer
    x = 1,868,577,056.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.