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Finding the Third Proportional to 310,420,919 and 675,954,237

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Solution

The third proportional to 310,420,919 and 675,954,237 is: 1,471,917,975.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,420,919 : 675,954,237 = 675,954,237 : x
  2. Step 2: Convert to fraction form
    310,420,919/675,954,237 = 675,954,237/x
  3. Step 3: Cross multiply
    310,420,919x = 675,954,237 × 675,954,237
  4. Step 4: Simplify right side
    310,420,919x = 456,914,130,518,252,160
  5. Step 5: Solve for x
    x = 456,914,130,518,252,160/310,420,919
  6. Step 6: Final answer
    x = 1,471,917,975.08

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Why These Related Problems?

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