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Finding the Third Proportional to 164,826,542,008 and 357,035,618,720

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Solution

The third proportional to 164,826,542,008 and 357,035,618,720 is: 773,385,350,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,826,542,008 : 357,035,618,720 = 357,035,618,720 : x
  2. Step 2: Convert to fraction form
    164,826,542,008/357,035,618,720 = 357,035,618,720/x
  3. Step 3: Cross multiply
    164,826,542,008x = 357,035,618,720 × 357,035,618,720
  4. Step 4: Simplify right side
    164,826,542,008x = 127,474,433,034,773,208,236,032
  5. Step 5: Solve for x
    x = 127,474,433,034,773,208,236,032/164,826,542,008
  6. Step 6: Final answer
    x = 773,385,350,938.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.