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Finding the Third Proportional to 31,461,970,357 and 67,411,556,714

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Solution

The third proportional to 31,461,970,357 and 67,411,556,714 is: 144,438,441,936.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461,970,357 : 67,411,556,714 = 67,411,556,714 : x
  2. Step 2: Convert to fraction form
    31,461,970,357/67,411,556,714 = 67,411,556,714/x
  3. Step 3: Cross multiply
    31,461,970,357x = 67,411,556,714 × 67,411,556,714
  4. Step 4: Simplify right side
    31,461,970,357x = 4,544,317,978,604,838,322,176
  5. Step 5: Solve for x
    x = 4,544,317,978,604,838,322,176/31,461,970,357
  6. Step 6: Final answer
    x = 144,438,441,936.10

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.