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Finding the Third Proportional to 313,293,092 and 678,655,144

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Solution

The third proportional to 313,293,092 and 678,655,144 is: 1,470,102,010.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,293,092 : 678,655,144 = 678,655,144 : x
  2. Step 2: Convert to fraction form
    313,293,092/678,655,144 = 678,655,144/x
  3. Step 3: Cross multiply
    313,293,092x = 678,655,144 × 678,655,144
  4. Step 4: Simplify right side
    313,293,092x = 460,572,804,477,660,736
  5. Step 5: Solve for x
    x = 460,572,804,477,660,736/313,293,092
  6. Step 6: Final answer
    x = 1,470,102,010.67

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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.