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Finding the Third Proportional to 402,783,234 and 867,543,314

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Solution

The third proportional to 402,783,234 and 867,543,314 is: 1,868,576,788.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,783,234 : 867,543,314 = 867,543,314 : x
  2. Step 2: Convert to fraction form
    402,783,234/867,543,314 = 867,543,314/x
  3. Step 3: Cross multiply
    402,783,234x = 867,543,314 × 867,543,314
  4. Step 4: Simplify right side
    402,783,234x = 752,631,401,666,102,656
  5. Step 5: Solve for x
    x = 752,631,401,666,102,656/402,783,234
  6. Step 6: Final answer
    x = 1,868,576,788.05

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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.