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Finding the Third Proportional to 31,461,937,396 and 67,411,490,540

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Solution

The third proportional to 31,461,937,396 and 67,411,490,540 is: 144,438,309,682.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461,937,396 : 67,411,490,540 = 67,411,490,540 : x
  2. Step 2: Convert to fraction form
    31,461,937,396/67,411,490,540 = 67,411,490,540/x
  3. Step 3: Cross multiply
    31,461,937,396x = 67,411,490,540 × 67,411,490,540
  4. Step 4: Simplify right side
    31,461,937,396x = 4,544,309,056,824,509,726,720
  5. Step 5: Solve for x
    x = 4,544,309,056,824,509,726,720/31,461,937,396
  6. Step 6: Final answer
    x = 144,438,309,682.81

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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.