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Finding the Third Proportional to 322,791,382 and 690,460,002

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Solution

The third proportional to 322,791,382 and 690,460,002 is: 1,476,913,700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,791,382 : 690,460,002 = 690,460,002 : x
  2. Step 2: Convert to fraction form
    322,791,382/690,460,002 = 690,460,002/x
  3. Step 3: Cross multiply
    322,791,382x = 690,460,002 × 690,460,002
  4. Step 4: Simplify right side
    322,791,382x = 476,735,014,361,840,000
  5. Step 5: Solve for x
    x = 476,735,014,361,840,000/322,791,382
  6. Step 6: Final answer
    x = 1,476,913,700.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.