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Finding the Third Proportional to 3,618,622,478 and 7,878,012,573

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Solution

The third proportional to 3,618,622,478 and 7,878,012,573 is: 17,151,024,313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618,622,478 : 7,878,012,573 = 7,878,012,573 : x
  2. Step 2: Convert to fraction form
    3,618,622,478/7,878,012,573 = 7,878,012,573/x
  3. Step 3: Cross multiply
    3,618,622,478x = 7,878,012,573 × 7,878,012,573
  4. Step 4: Simplify right side
    3,618,622,478x = 62,063,082,100,346,077,184
  5. Step 5: Solve for x
    x = 62,063,082,100,346,077,184/3,618,622,478
  6. Step 6: Final answer
    x = 17,151,024,313.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.