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Finding the Third Proportional to 31,461,772,344 and 67,411,165,326

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Solution

The third proportional to 31,461,772,344 and 67,411,165,326 is: 144,437,673,787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461,772,344 : 67,411,165,326 = 67,411,165,326 : x
  2. Step 2: Convert to fraction form
    31,461,772,344/67,411,165,326 = 67,411,165,326/x
  3. Step 3: Cross multiply
    31,461,772,344x = 67,411,165,326 × 67,411,165,326
  4. Step 4: Simplify right side
    31,461,772,344x = 4,544,265,210,609,304,862,720
  5. Step 5: Solve for x
    x = 4,544,265,210,609,304,862,720/31,461,772,344
  6. Step 6: Final answer
    x = 144,437,673,787.82

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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.