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Finding the Third Proportional to 3,615,563,309,374 and 7,806,284,172,464

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Solution

The third proportional to 3,615,563,309,374 and 7,806,284,172,464 is: 16,854,378,520,566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615,563,309,374 : 7,806,284,172,464 = 7,806,284,172,464 : x
  2. Step 2: Convert to fraction form
    3,615,563,309,374/7,806,284,172,464 = 7,806,284,172,464/x
  3. Step 3: Cross multiply
    3,615,563,309,374x = 7,806,284,172,464 × 7,806,284,172,464
  4. Step 4: Simplify right side
    3,615,563,309,374x = 60,938,072,581,261,956,550,230,016
  5. Step 5: Solve for x
    x = 60,938,072,581,261,956,550,230,016/3,615,563,309,374
  6. Step 6: Final answer
    x = 16,854,378,520,566.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.