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Finding the Third Proportional to 1,500,405,693,542.80 and 2,024,399,567,653.80

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Solution

The third proportional to 1,500,405,693,542.80 and 2,024,399,567,653.80 is: 2,731,390,334,730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500,405,693,542.80 : 2,024,399,567,653.80 = 2,024,399,567,653.80 : x
  2. Step 2: Convert to fraction form
    1,500,405,693,542.80/2,024,399,567,653.80 = 2,024,399,567,653.80/x
  3. Step 3: Cross multiply
    1,500,405,693,542.80x = 2,024,399,567,653.80 × 2,024,399,567,653.80
  4. Step 4: Simplify right side
    1,500,405,693,542.80x = 4,098,193,609,516,892,672,753,664
  5. Step 5: Solve for x
    x = 4,098,193,609,516,892,672,753,664/1,500,405,693,542.80
  6. Step 6: Final answer
    x = 2,731,390,334,730.15

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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.