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Finding the Third Proportional to 2,209,289,795 and 3,310,702,948

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Solution

The third proportional to 2,209,289,795 and 3,310,702,948 is: 4,961,211,532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209,289,795 : 3,310,702,948 = 3,310,702,948 : x
  2. Step 2: Convert to fraction form
    2,209,289,795/3,310,702,948 = 3,310,702,948/x
  3. Step 3: Cross multiply
    2,209,289,795x = 3,310,702,948 × 3,310,702,948
  4. Step 4: Simplify right side
    2,209,289,795x = 10,960,754,009,895,890,944
  5. Step 5: Solve for x
    x = 10,960,754,009,895,890,944/2,209,289,795
  6. Step 6: Final answer
    x = 4,961,211,532.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.