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Finding the Third Proportional to 3,615,563,310,656 and 7,806,284,173,938

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Solution

The third proportional to 3,615,563,310,656 and 7,806,284,173,938 is: 16,854,378,520,955.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615,563,310,656 : 7,806,284,173,938 = 7,806,284,173,938 : x
  2. Step 2: Convert to fraction form
    3,615,563,310,656/7,806,284,173,938 = 7,806,284,173,938/x
  3. Step 3: Cross multiply
    3,615,563,310,656x = 7,806,284,173,938 × 7,806,284,173,938
  4. Step 4: Simplify right side
    3,615,563,310,656x = 60,938,072,604,274,880,948,469,760
  5. Step 5: Solve for x
    x = 60,938,072,604,274,880,948,469,760/3,615,563,310,656
  6. Step 6: Final answer
    x = 16,854,378,520,955.40

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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.