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Finding the Third Proportional to 31,461,970,356 and 67,411,556,712

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Solution

The third proportional to 31,461,970,356 and 67,411,556,712 is: 144,438,441,932.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461,970,356 : 67,411,556,712 = 67,411,556,712 : x
  2. Step 2: Convert to fraction form
    31,461,970,356/67,411,556,712 = 67,411,556,712/x
  3. Step 3: Cross multiply
    31,461,970,356x = 67,411,556,712 × 67,411,556,712
  4. Step 4: Simplify right side
    31,461,970,356x = 4,544,317,978,335,192,285,184
  5. Step 5: Solve for x
    x = 4,544,317,978,335,192,285,184/31,461,970,356
  6. Step 6: Final answer
    x = 144,438,441,932.12

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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.