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Finding the Third Proportional to 1,500,405,693,554 and 2,024,399,567,672

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Solution

The third proportional to 1,500,405,693,554 and 2,024,399,567,672 is: 2,731,390,334,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500,405,693,554 : 2,024,399,567,672 = 2,024,399,567,672 : x
  2. Step 2: Convert to fraction form
    1,500,405,693,554/2,024,399,567,672 = 2,024,399,567,672/x
  3. Step 3: Cross multiply
    1,500,405,693,554x = 2,024,399,567,672 × 2,024,399,567,672
  4. Step 4: Simplify right side
    1,500,405,693,554x = 4,098,193,609,590,580,352,909,312
  5. Step 5: Solve for x
    x = 4,098,193,609,590,580,352,909,312/1,500,405,693,554
  6. Step 6: Final answer
    x = 2,731,390,334,758.87

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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.