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Finding the Third Proportional to 20,349,429,066 and 30,717,610,063

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Solution

The third proportional to 20,349,429,066 and 30,717,610,063 is: 46,368,454,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,349,429,066 : 30,717,610,063 = 30,717,610,063 : x
  2. Step 2: Convert to fraction form
    20,349,429,066/30,717,610,063 = 30,717,610,063/x
  3. Step 3: Cross multiply
    20,349,429,066x = 30,717,610,063 × 30,717,610,063
  4. Step 4: Simplify right side
    20,349,429,066x = 943,571,567,982,518,861,824
  5. Step 5: Solve for x
    x = 943,571,567,982,518,861,824/20,349,429,066
  6. Step 6: Final answer
    x = 46,368,454,118.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.