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Finding the Third Proportional to 16,008,175,836 and 34,772,101,434

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Solution

The third proportional to 16,008,175,836 and 34,772,101,434 is: 75,530,094,779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,008,175,836 : 34,772,101,434 = 34,772,101,434 : x
  2. Step 2: Convert to fraction form
    16,008,175,836/34,772,101,434 = 34,772,101,434/x
  3. Step 3: Cross multiply
    16,008,175,836x = 34,772,101,434 × 34,772,101,434
  4. Step 4: Simplify right side
    16,008,175,836x = 1,209,099,038,136,384,880,640
  5. Step 5: Solve for x
    x = 1,209,099,038,136,384,880,640/16,008,175,836
  6. Step 6: Final answer
    x = 75,530,094,779.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.