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Finding the Third Proportional to 310,420,924 and 675,954,247

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Solution

The third proportional to 310,420,924 and 675,954,247 is: 1,471,917,994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,420,924 : 675,954,247 = 675,954,247 : x
  2. Step 2: Convert to fraction form
    310,420,924/675,954,247 = 675,954,247/x
  3. Step 3: Cross multiply
    310,420,924x = 675,954,247 × 675,954,247
  4. Step 4: Simplify right side
    310,420,924x = 456,914,144,037,337,024
  5. Step 5: Solve for x
    x = 456,914,144,037,337,024/310,420,924
  6. Step 6: Final answer
    x = 1,471,917,994.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.