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Finding the Third Proportional to 6,346,397,433,642 and 13,598,191,802,964

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Solution

The third proportional to 6,346,397,433,642 and 13,598,191,802,964 is: 29,136,344,239,960.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346,397,433,642 : 13,598,191,802,964 = 13,598,191,802,964 : x
  2. Step 2: Convert to fraction form
    6,346,397,433,642/13,598,191,802,964 = 13,598,191,802,964/x
  3. Step 3: Cross multiply
    6,346,397,433,642x = 13,598,191,802,964 × 13,598,191,802,964
  4. Step 4: Simplify right side
    6,346,397,433,642x = 184,910,820,310,197,324,597,952,512
  5. Step 5: Solve for x
    x = 184,910,820,310,197,324,597,952,512/6,346,397,433,642
  6. Step 6: Final answer
    x = 29,136,344,239,960.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.