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Finding the Third Proportional to 243,887,938,539 and 528,302,504,910

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Solution

The third proportional to 243,887,938,539 and 528,302,504,910 is: 1,144,392,536,859.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,887,938,539 : 528,302,504,910 = 528,302,504,910 : x
  2. Step 2: Convert to fraction form
    243,887,938,539/528,302,504,910 = 528,302,504,910/x
  3. Step 3: Cross multiply
    243,887,938,539x = 528,302,504,910 × 528,302,504,910
  4. Step 4: Simplify right side
    243,887,938,539x = 279,103,536,694,180,578,328,576
  5. Step 5: Solve for x
    x = 279,103,536,694,180,578,328,576/243,887,938,539
  6. Step 6: Final answer
    x = 1,144,392,536,859.91

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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.