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Finding the Third Proportional to 29,836,392,579,976 and 64,926,604,270,136

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Solution

The third proportional to 29,836,392,579,976 and 64,926,604,270,136 is: 141,285,979,219,885.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,836,392,579,976 : 64,926,604,270,136 = 64,926,604,270,136 : x
  2. Step 2: Convert to fraction form
    29,836,392,579,976/64,926,604,270,136 = 64,926,604,270,136/x
  3. Step 3: Cross multiply
    29,836,392,579,976x = 64,926,604,270,136 × 64,926,604,270,136
  4. Step 4: Simplify right side
    29,836,392,579,976x = 4,215,463,942,050,842,012,851,109,888
  5. Step 5: Solve for x
    x = 4,215,463,942,050,842,012,851,109,888/29,836,392,579,976
  6. Step 6: Final answer
    x = 141,285,979,219,885.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.