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Finding the Third Proportional to 539,124,166.13 and 770,422,456.13

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Solution

The third proportional to 539,124,166.13 and 770,422,456.13 is: 1,100,953,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,124,166.13 : 770,422,456.13 = 770,422,456.13 : x
  2. Step 2: Convert to fraction form
    539,124,166.13/770,422,456.13 = 770,422,456.13/x
  3. Step 3: Cross multiply
    539,124,166.13x = 770,422,456.13 × 770,422,456.13
  4. Step 4: Simplify right side
    539,124,166.13x = 593,550,760,901,677,568
  5. Step 5: Solve for x
    x = 593,550,760,901,677,568/539,124,166.13
  6. Step 6: Final answer
    x = 1,100,953,728.65

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.