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Finding the Third Proportional to 31,461,772,347 and 67,411,165,338

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Solution

The third proportional to 31,461,772,347 and 67,411,165,338 is: 144,437,673,825.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461,772,347 : 67,411,165,338 = 67,411,165,338 : x
  2. Step 2: Convert to fraction form
    31,461,772,347/67,411,165,338 = 67,411,165,338/x
  3. Step 3: Cross multiply
    31,461,772,347x = 67,411,165,338 × 67,411,165,338
  4. Step 4: Simplify right side
    31,461,772,347x = 4,544,265,212,227,172,696,064
  5. Step 5: Solve for x
    x = 4,544,265,212,227,172,696,064/31,461,772,347
  6. Step 6: Final answer
    x = 144,437,673,825.47

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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.