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Finding the Third Proportional to 1,383,169,140 and 2,124,716,940

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Solution

The third proportional to 1,383,169,140 and 2,124,716,940 is: 3,263,825,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,169,140 : 2,124,716,940 = 2,124,716,940 : x
  2. Step 2: Convert to fraction form
    1,383,169,140/2,124,716,940 = 2,124,716,940/x
  3. Step 3: Cross multiply
    1,383,169,140x = 2,124,716,940 × 2,124,716,940
  4. Step 4: Simplify right side
    1,383,169,140x = 4,514,422,075,122,963,456
  5. Step 5: Solve for x
    x = 4,514,422,075,122,963,456/1,383,169,140
  6. Step 6: Final answer
    x = 3,263,825,041.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.