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Finding the Third Proportional to 243,887,938,545 and 528,302,504,922

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Solution

The third proportional to 243,887,938,545 and 528,302,504,922 is: 1,144,392,536,883.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,887,938,545 : 528,302,504,922 = 528,302,504,922 : x
  2. Step 2: Convert to fraction form
    243,887,938,545/528,302,504,922 = 528,302,504,922/x
  3. Step 3: Cross multiply
    243,887,938,545x = 528,302,504,922 × 528,302,504,922
  4. Step 4: Simplify right side
    243,887,938,545x = 279,103,536,706,859,825,102,848
  5. Step 5: Solve for x
    x = 279,103,536,706,859,825,102,848/243,887,938,545
  6. Step 6: Final answer
    x = 1,144,392,536,883.75

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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.