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Finding the Third Proportional to 13,818,836,980 and 29,839,614,056

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Solution

The third proportional to 13,818,836,980 and 29,839,614,056 is: 64,433,972,866.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818,836,980 : 29,839,614,056 = 29,839,614,056 : x
  2. Step 2: Convert to fraction form
    13,818,836,980/29,839,614,056 = 29,839,614,056/x
  3. Step 3: Cross multiply
    13,818,836,980x = 29,839,614,056 × 29,839,614,056
  4. Step 4: Simplify right side
    13,818,836,980x = 890,402,567,011,032,760,320
  5. Step 5: Solve for x
    x = 890,402,567,011,032,760,320/13,818,836,980
  6. Step 6: Final answer
    x = 64,433,972,866.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.