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Finding the Third Proportional to 754,986,009.94 and 1,640,657,075.63

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Solution

The third proportional to 754,986,009.94 and 1,640,657,075.63 is: 3,565,305,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,986,009.94 : 1,640,657,075.63 = 1,640,657,075.63 : x
  2. Step 2: Convert to fraction form
    754,986,009.94/1,640,657,075.63 = 1,640,657,075.63/x
  3. Step 3: Cross multiply
    754,986,009.94x = 1,640,657,075.63 × 1,640,657,075.63
  4. Step 4: Simplify right side
    754,986,009.94x = 2,691,755,639,798,376,960
  5. Step 5: Solve for x
    x = 2,691,755,639,798,376,960/754,986,009.94
  6. Step 6: Final answer
    x = 3,565,305,322.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.