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Finding the Third Proportional to 660,436,552.13 and 1,415,412,600.75

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Solution

The third proportional to 660,436,552.13 and 1,415,412,600.75 is: 3,033,437,237.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,436,552.13 : 1,415,412,600.75 = 1,415,412,600.75 : x
  2. Step 2: Convert to fraction form
    660,436,552.13/1,415,412,600.75 = 1,415,412,600.75/x
  3. Step 3: Cross multiply
    660,436,552.13x = 1,415,412,600.75 × 1,415,412,600.75
  4. Step 4: Simplify right side
    660,436,552.13x = 2,003,392,830,361,878,784
  5. Step 5: Solve for x
    x = 2,003,392,830,361,878,784/660,436,552.13
  6. Step 6: Final answer
    x = 3,033,437,237.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.