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Finding the Third Proportional to 31,461,772,351 and 67,411,165,346

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Solution

The third proportional to 31,461,772,351 and 67,411,165,346 is: 144,437,673,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461,772,351 : 67,411,165,346 = 67,411,165,346 : x
  2. Step 2: Convert to fraction form
    31,461,772,351/67,411,165,346 = 67,411,165,346/x
  3. Step 3: Cross multiply
    31,461,772,351x = 67,411,165,346 × 67,411,165,346
  4. Step 4: Simplify right side
    31,461,772,351x = 4,544,265,213,305,751,076,864
  5. Step 5: Solve for x
    x = 4,544,265,213,305,751,076,864/31,461,772,351
  6. Step 6: Final answer
    x = 144,437,673,841.39

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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.