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Finding the Third Proportional to 13,210,761,218,600 and 26,798,210,924,647

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Solution

The third proportional to 13,210,761,218,600 and 26,798,210,924,647 is: 54,360,539,629,674.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,210,761,218,600 : 26,798,210,924,647 = 26,798,210,924,647 : x
  2. Step 2: Convert to fraction form
    13,210,761,218,600/26,798,210,924,647 = 26,798,210,924,647/x
  3. Step 3: Cross multiply
    13,210,761,218,600x = 26,798,210,924,647 × 26,798,210,924,647
  4. Step 4: Simplify right side
    13,210,761,218,600x = 718,144,108,761,869,811,537,936,384
  5. Step 5: Solve for x
    x = 718,144,108,761,869,811,537,936,384/13,210,761,218,600
  6. Step 6: Final answer
    x = 54,360,539,629,674.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.