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Finding the Third Proportional to 397,735,050.94 and 937,571,943.94

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Solution

The third proportional to 397,735,050.94 and 937,571,943.94 is: 2,210,117,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,735,050.94 : 937,571,943.94 = 937,571,943.94 : x
  2. Step 2: Convert to fraction form
    397,735,050.94/937,571,943.94 = 937,571,943.94/x
  3. Step 3: Cross multiply
    397,735,050.94x = 937,571,943.94 × 937,571,943.94
  4. Step 4: Simplify right side
    397,735,050.94x = 879,041,150,058,742,656
  5. Step 5: Solve for x
    x = 879,041,150,058,742,656/397,735,050.94
  6. Step 6: Final answer
    x = 2,210,117,383.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.