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Finding the Third Proportional to 6,288,776,108 and 13,460,975,800

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Solution

The third proportional to 6,288,776,108 and 13,460,975,800 is: 28,812,898,786.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288,776,108 : 13,460,975,800 = 13,460,975,800 : x
  2. Step 2: Convert to fraction form
    6,288,776,108/13,460,975,800 = 13,460,975,800/x
  3. Step 3: Cross multiply
    6,288,776,108x = 13,460,975,800 × 13,460,975,800
  4. Step 4: Simplify right side
    6,288,776,108x = 181,197,869,488,185,638,912
  5. Step 5: Solve for x
    x = 181,197,869,488,185,638,912/6,288,776,108
  6. Step 6: Final answer
    x = 28,812,898,786.09

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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.