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Finding the Third Proportional to 21,365,946,824 and 45,495,253,987

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Solution

The third proportional to 21,365,946,824 and 45,495,253,987 is: 96,874,627,293.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,365,946,824 : 45,495,253,987 = 45,495,253,987 : x
  2. Step 2: Convert to fraction form
    21,365,946,824/45,495,253,987 = 45,495,253,987/x
  3. Step 3: Cross multiply
    21,365,946,824x = 45,495,253,987 × 45,495,253,987
  4. Step 4: Simplify right side
    21,365,946,824x = 2,069,818,135,341,639,401,472
  5. Step 5: Solve for x
    x = 2,069,818,135,341,639,401,472/21,365,946,824
  6. Step 6: Final answer
    x = 96,874,627,293.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.