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Finding the Third Proportional to 994,525,044.75 and 1,657,441,848.38

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Solution

The third proportional to 994,525,044.75 and 1,657,441,848.38 is: 2,762,236,602.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,525,044.75 : 1,657,441,848.38 = 1,657,441,848.38 : x
  2. Step 2: Convert to fraction form
    994,525,044.75/1,657,441,848.38 = 1,657,441,848.38/x
  3. Step 3: Cross multiply
    994,525,044.75x = 1,657,441,848.38 × 1,657,441,848.38
  4. Step 4: Simplify right side
    994,525,044.75x = 2,747,113,480,744,736,256
  5. Step 5: Solve for x
    x = 2,747,113,480,744,736,256/994,525,044.75
  6. Step 6: Final answer
    x = 2,762,236,602.53

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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.