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Finding the Third Proportional to 31,461,772,349 and 67,411,165,342

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Solution

The third proportional to 31,461,772,349 and 67,411,165,342 is: 144,437,673,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461,772,349 : 67,411,165,342 = 67,411,165,342 : x
  2. Step 2: Convert to fraction form
    31,461,772,349/67,411,165,342 = 67,411,165,342/x
  3. Step 3: Cross multiply
    31,461,772,349x = 67,411,165,342 × 67,411,165,342
  4. Step 4: Simplify right side
    31,461,772,349x = 4,544,265,212,766,462,148,608
  5. Step 5: Solve for x
    x = 4,544,265,212,766,462,148,608/31,461,772,349
  6. Step 6: Final answer
    x = 144,437,673,833.43

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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.