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Finding the Third Proportional to 943,683,378 and 1,415,525,211

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Solution

The third proportional to 943,683,378 and 1,415,525,211 is: 2,123,288,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,683,378 : 1,415,525,211 = 1,415,525,211 : x
  2. Step 2: Convert to fraction form
    943,683,378/1,415,525,211 = 1,415,525,211/x
  3. Step 3: Cross multiply
    943,683,378x = 1,415,525,211 × 1,415,525,211
  4. Step 4: Simplify right side
    943,683,378x = 2,003,711,622,976,594,432
  5. Step 5: Solve for x
    x = 2,003,711,622,976,594,432/943,683,378
  6. Step 6: Final answer
    x = 2,123,288,032.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.