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Finding the Third Proportional to 1,150,163,715 and 2,519,265,084

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Solution

The third proportional to 1,150,163,715 and 2,519,265,084 is: 5,518,081,018.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150,163,715 : 2,519,265,084 = 2,519,265,084 : x
  2. Step 2: Convert to fraction form
    1,150,163,715/2,519,265,084 = 2,519,265,084/x
  3. Step 3: Cross multiply
    1,150,163,715x = 2,519,265,084 × 2,519,265,084
  4. Step 4: Simplify right side
    1,150,163,715x = 6,346,696,563,461,527,552
  5. Step 5: Solve for x
    x = 6,346,696,563,461,527,552/1,150,163,715
  6. Step 6: Final answer
    x = 5,518,081,018.11

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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.