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Finding the Third Proportional to 1,211,861,634 and 2,650,470,996

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Solution

The third proportional to 1,211,861,634 and 2,650,470,996 is: 5,796,863,522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,861,634 : 2,650,470,996 = 2,650,470,996 : x
  2. Step 2: Convert to fraction form
    1,211,861,634/2,650,470,996 = 2,650,470,996/x
  3. Step 3: Cross multiply
    1,211,861,634x = 2,650,470,996 × 2,650,470,996
  4. Step 4: Simplify right side
    1,211,861,634x = 7,024,996,500,637,232,128
  5. Step 5: Solve for x
    x = 7,024,996,500,637,232,128/1,211,861,634
  6. Step 6: Final answer
    x = 5,796,863,522.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.