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Finding the Third Proportional to 1,154,252,022 and 2,421,878,121

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Solution

The third proportional to 1,154,252,022 and 2,421,878,121 is: 5,081,640,336.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,252,022 : 2,421,878,121 = 2,421,878,121 : x
  2. Step 2: Convert to fraction form
    1,154,252,022/2,421,878,121 = 2,421,878,121/x
  3. Step 3: Cross multiply
    1,154,252,022x = 2,421,878,121 × 2,421,878,121
  4. Step 4: Simplify right side
    1,154,252,022x = 5,865,493,632,978,490,368
  5. Step 5: Solve for x
    x = 5,865,493,632,978,490,368/1,154,252,022
  6. Step 6: Final answer
    x = 5,081,640,336.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.