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Finding the Third Proportional to 435,415,405,810.50 and 681,544,032,072.76

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Solution

The third proportional to 435,415,405,810.50 and 681,544,032,072.76 is: 1,066,802,555,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,415,405,810.50 : 681,544,032,072.76 = 681,544,032,072.76 : x
  2. Step 2: Convert to fraction form
    435,415,405,810.50/681,544,032,072.76 = 681,544,032,072.76/x
  3. Step 3: Cross multiply
    435,415,405,810.50x = 681,544,032,072.76 × 681,544,032,072.76
  4. Step 4: Simplify right side
    435,415,405,810.50x = 464,502,267,653,995,355,963,392
  5. Step 5: Solve for x
    x = 464,502,267,653,995,355,963,392/435,415,405,810.50
  6. Step 6: Final answer
    x = 1,066,802,555,571.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.