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Finding the Third Proportional to 994,525,042 and 1,657,441,844

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Solution

The third proportional to 994,525,042 and 1,657,441,844 is: 2,762,236,595.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,525,042 : 1,657,441,844 = 1,657,441,844 : x
  2. Step 2: Convert to fraction form
    994,525,042/1,657,441,844 = 1,657,441,844/x
  3. Step 3: Cross multiply
    994,525,042x = 1,657,441,844 × 1,657,441,844
  4. Step 4: Simplify right side
    994,525,042x = 2,747,113,466,242,120,192
  5. Step 5: Solve for x
    x = 2,747,113,466,242,120,192/994,525,042
  6. Step 6: Final answer
    x = 2,762,236,595.59

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.