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Finding the Third Proportional to 699,785,889.89 and 1,503,423,459.28

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Solution

The third proportional to 699,785,889.89 and 1,503,423,459.28 is: 3,229,962,379.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,785,889.89 : 1,503,423,459.28 = 1,503,423,459.28 : x
  2. Step 2: Convert to fraction form
    699,785,889.89/1,503,423,459.28 = 1,503,423,459.28/x
  3. Step 3: Cross multiply
    699,785,889.89x = 1,503,423,459.28 × 1,503,423,459.28
  4. Step 4: Simplify right side
    699,785,889.89x = 2,260,282,097,917,049,856
  5. Step 5: Solve for x
    x = 2,260,282,097,917,049,856/699,785,889.89
  6. Step 6: Final answer
    x = 3,229,962,379.31

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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.