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Finding the Third Proportional to 9,691,015,824 and 21,035,975,664

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Solution

The third proportional to 9,691,015,824 and 21,035,975,664 is: 45,662,114,289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691,015,824 : 21,035,975,664 = 21,035,975,664 : x
  2. Step 2: Convert to fraction form
    9,691,015,824/21,035,975,664 = 21,035,975,664/x
  3. Step 3: Cross multiply
    9,691,015,824x = 21,035,975,664 × 21,035,975,664
  4. Step 4: Simplify right side
    9,691,015,824x = 442,512,272,136,400,273,408
  5. Step 5: Solve for x
    x = 442,512,272,136,400,273,408/9,691,015,824
  6. Step 6: Final answer
    x = 45,662,114,289.45

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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.