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Finding the Third Proportional to 622,041,306 and 1,336,395,243

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Solution

The third proportional to 622,041,306 and 1,336,395,243 is: 2,871,115,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,041,306 : 1,336,395,243 = 1,336,395,243 : x
  2. Step 2: Convert to fraction form
    622,041,306/1,336,395,243 = 1,336,395,243/x
  3. Step 3: Cross multiply
    622,041,306x = 1,336,395,243 × 1,336,395,243
  4. Step 4: Simplify right side
    622,041,306x = 1,785,952,245,513,029,120
  5. Step 5: Solve for x
    x = 1,785,952,245,513,029,120/622,041,306
  6. Step 6: Final answer
    x = 2,871,115,194.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.