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Finding the Third Proportional to 313,293,093 and 678,655,146

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Solution

The third proportional to 313,293,093 and 678,655,146 is: 1,470,102,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,293,093 : 678,655,146 = 678,655,146 : x
  2. Step 2: Convert to fraction form
    313,293,093/678,655,146 = 678,655,146/x
  3. Step 3: Cross multiply
    313,293,093x = 678,655,146 × 678,655,146
  4. Step 4: Simplify right side
    313,293,093x = 460,572,807,192,281,344
  5. Step 5: Solve for x
    x = 460,572,807,192,281,344/313,293,093
  6. Step 6: Final answer
    x = 1,470,102,014.64

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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.