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Finding the Third Proportional to 16,969,985,966 and 34,423,850,056

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Solution

The third proportional to 16,969,985,966 and 34,423,850,056 is: 69,829,253,545.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969,985,966 : 34,423,850,056 = 34,423,850,056 : x
  2. Step 2: Convert to fraction form
    16,969,985,966/34,423,850,056 = 34,423,850,056/x
  3. Step 3: Cross multiply
    16,969,985,966x = 34,423,850,056 × 34,423,850,056
  4. Step 4: Simplify right side
    16,969,985,966x = 1,185,001,452,677,971,312,640
  5. Step 5: Solve for x
    x = 1,185,001,452,677,971,312,640/16,969,985,966
  6. Step 6: Final answer
    x = 69,829,253,545.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.