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Finding the Third Proportional to 647,741,210 and 1,410,489,457

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Solution

The third proportional to 647,741,210 and 1,410,489,457 is: 3,071,412,591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,741,210 : 1,410,489,457 = 1,410,489,457 : x
  2. Step 2: Convert to fraction form
    647,741,210/1,410,489,457 = 1,410,489,457/x
  3. Step 3: Cross multiply
    647,741,210x = 1,410,489,457 × 1,410,489,457
  4. Step 4: Simplify right side
    647,741,210x = 1,989,480,508,308,154,880
  5. Step 5: Solve for x
    x = 1,989,480,508,308,154,880/647,741,210
  6. Step 6: Final answer
    x = 3,071,412,591.32

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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.