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Finding the Third Proportional to 959,849,969.25 and 1,433,485,138.50

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Solution

The third proportional to 959,849,969.25 and 1,433,485,138.50 is: 2,140,834,201.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,849,969.25 : 1,433,485,138.50 = 1,433,485,138.50 : x
  2. Step 2: Convert to fraction form
    959,849,969.25/1,433,485,138.50 = 1,433,485,138.50/x
  3. Step 3: Cross multiply
    959,849,969.25x = 1,433,485,138.50 × 1,433,485,138.50
  4. Step 4: Simplify right side
    959,849,969.25x = 2,054,879,642,300,364,288
  5. Step 5: Solve for x
    x = 2,054,879,642,300,364,288/959,849,969.25
  6. Step 6: Final answer
    x = 2,140,834,201.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.