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Finding the Third Proportional to 18,626,713,301,460 and 40,533,359,994,960

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Solution

The third proportional to 18,626,713,301,460 and 40,533,359,994,960 is: 88,204,142,399,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,626,713,301,460 : 40,533,359,994,960 = 40,533,359,994,960 : x
  2. Step 2: Convert to fraction form
    18,626,713,301,460/40,533,359,994,960 = 40,533,359,994,960/x
  3. Step 3: Cross multiply
    18,626,713,301,460x = 40,533,359,994,960 × 40,533,359,994,960
  4. Step 4: Simplify right side
    18,626,713,301,460x = 1,642,953,272,481,023,803,265,122,304
  5. Step 5: Solve for x
    x = 1,642,953,272,481,023,803,265,122,304/18,626,713,301,460
  6. Step 6: Final answer
    x = 88,204,142,399,735.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.