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Finding the Third Proportional to 20,349,429,068 and 30,717,610,066

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Solution

The third proportional to 20,349,429,068 and 30,717,610,066 is: 46,368,454,122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,349,429,068 : 30,717,610,066 = 30,717,610,066 : x
  2. Step 2: Convert to fraction form
    20,349,429,068/30,717,610,066 = 30,717,610,066/x
  3. Step 3: Cross multiply
    20,349,429,068x = 30,717,610,066 × 30,717,610,066
  4. Step 4: Simplify right side
    20,349,429,068x = 943,571,568,166,824,574,976
  5. Step 5: Solve for x
    x = 943,571,568,166,824,574,976/20,349,429,068
  6. Step 6: Final answer
    x = 46,368,454,122.90

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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.