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Finding the Third Proportional to 380,640,640.92 and 605,674,075.22

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Solution

The third proportional to 380,640,640.92 and 605,674,075.22 is: 963,746,499.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,640,640.92 : 605,674,075.22 = 605,674,075.22 : x
  2. Step 2: Convert to fraction form
    380,640,640.92/605,674,075.22 = 605,674,075.22/x
  3. Step 3: Cross multiply
    380,640,640.92x = 605,674,075.22 × 605,674,075.22
  4. Step 4: Simplify right side
    380,640,640.92x = 366,841,085,392,088,064
  5. Step 5: Solve for x
    x = 366,841,085,392,088,064/380,640,640.92
  6. Step 6: Final answer
    x = 963,746,499.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.