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Finding the Third Proportional to 1,248,927,910,989 and 1,685,097,000,828

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Solution

The third proportional to 1,248,927,910,989 and 1,685,097,000,828 is: 2,273,591,515,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248,927,910,989 : 1,685,097,000,828 = 1,685,097,000,828 : x
  2. Step 2: Convert to fraction form
    1,248,927,910,989/1,685,097,000,828 = 1,685,097,000,828/x
  3. Step 3: Cross multiply
    1,248,927,910,989x = 1,685,097,000,828 × 1,685,097,000,828
  4. Step 4: Simplify right side
    1,248,927,910,989x = 2,839,551,902,199,520,625,164,288
  5. Step 5: Solve for x
    x = 2,839,551,902,199,520,625,164,288/1,248,927,910,989
  6. Step 6: Final answer
    x = 2,273,591,515,743.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.