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Finding the Third Proportional to 755,075,062.69 and 1,640,859,698.81

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Solution

The third proportional to 755,075,062.69 and 1,640,859,698.81 is: 3,565,765,424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,075,062.69 : 1,640,859,698.81 = 1,640,859,698.81 : x
  2. Step 2: Convert to fraction form
    755,075,062.69/1,640,859,698.81 = 1,640,859,698.81/x
  3. Step 3: Cross multiply
    755,075,062.69x = 1,640,859,698.81 × 1,640,859,698.81
  4. Step 4: Simplify right side
    755,075,062.69x = 2,692,420,551,187,048,448
  5. Step 5: Solve for x
    x = 2,692,420,551,187,048,448/755,075,062.69
  6. Step 6: Final answer
    x = 3,565,765,424.17

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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.