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Finding the Third Proportional to 31,461,975,964 and 67,411,568,036

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Solution

The third proportional to 31,461,975,964 and 67,411,568,036 is: 144,438,464,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461,975,964 : 67,411,568,036 = 67,411,568,036 : x
  2. Step 2: Convert to fraction form
    31,461,975,964/67,411,568,036 = 67,411,568,036/x
  3. Step 3: Cross multiply
    31,461,975,964x = 67,411,568,036 × 67,411,568,036
  4. Step 4: Simplify right side
    31,461,975,964x = 4,544,319,505,072,256,974,848
  5. Step 5: Solve for x
    x = 4,544,319,505,072,256,974,848/31,461,975,964
  6. Step 6: Final answer
    x = 144,438,464,712.83

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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.