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Finding the Third Proportional to 9,561,863,512 and 20,466,941,575

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Solution

The third proportional to 9,561,863,512 and 20,466,941,575 is: 43,809,001,970.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561,863,512 : 20,466,941,575 = 20,466,941,575 : x
  2. Step 2: Convert to fraction form
    9,561,863,512/20,466,941,575 = 20,466,941,575/x
  3. Step 3: Cross multiply
    9,561,863,512x = 20,466,941,575 × 20,466,941,575
  4. Step 4: Simplify right side
    9,561,863,512x = 418,895,697,434,463,502,336
  5. Step 5: Solve for x
    x = 418,895,697,434,463,502,336/9,561,863,512
  6. Step 6: Final answer
    x = 43,809,001,970.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.