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Finding the Third Proportional to 707,001,064 and 1,536,381,182

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Solution

The third proportional to 707,001,064 and 1,536,381,182 is: 3,338,703,796.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,001,064 : 1,536,381,182 = 1,536,381,182 : x
  2. Step 2: Convert to fraction form
    707,001,064/1,536,381,182 = 1,536,381,182/x
  3. Step 3: Cross multiply
    707,001,064x = 1,536,381,182 × 1,536,381,182
  4. Step 4: Simplify right side
    707,001,064x = 2,360,467,136,403,717,120
  5. Step 5: Solve for x
    x = 2,360,467,136,403,717,120/707,001,064
  6. Step 6: Final answer
    x = 3,338,703,796.35

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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.