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Finding the Third Proportional to 16,114,239,396 and 34,677,359,649

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Solution

The third proportional to 16,114,239,396 and 34,677,359,649 is: 74,624,637,420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114,239,396 : 34,677,359,649 = 34,677,359,649 : x
  2. Step 2: Convert to fraction form
    16,114,239,396/34,677,359,649 = 34,677,359,649/x
  3. Step 3: Cross multiply
    16,114,239,396x = 34,677,359,649 × 34,677,359,649
  4. Step 4: Simplify right side
    16,114,239,396x = 1,202,519,272,226,093,531,136
  5. Step 5: Solve for x
    x = 1,202,519,272,226,093,531,136/16,114,239,396
  6. Step 6: Final answer
    x = 74,624,637,420.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.