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Finding the Third Proportional to 16,114,239,360 and 34,677,359,577

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Solution

The third proportional to 16,114,239,360 and 34,677,359,577 is: 74,624,637,276.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114,239,360 : 34,677,359,577 = 34,677,359,577 : x
  2. Step 2: Convert to fraction form
    16,114,239,360/34,677,359,577 = 34,677,359,577/x
  3. Step 3: Cross multiply
    16,114,239,360x = 34,677,359,577 × 34,677,359,577
  4. Step 4: Simplify right side
    16,114,239,360x = 1,202,519,267,232,553,631,744
  5. Step 5: Solve for x
    x = 1,202,519,267,232,553,631,744/16,114,239,360
  6. Step 6: Final answer
    x = 74,624,637,276.86

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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.