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Finding the Third Proportional to 1,457,448,210 and 3,147,134,213

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Solution

The third proportional to 1,457,448,210 and 3,147,134,213 is: 6,795,750,055.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457,448,210 : 3,147,134,213 = 3,147,134,213 : x
  2. Step 2: Convert to fraction form
    1,457,448,210/3,147,134,213 = 3,147,134,213/x
  3. Step 3: Cross multiply
    1,457,448,210x = 3,147,134,213 × 3,147,134,213
  4. Step 4: Simplify right side
    1,457,448,210x = 9,904,453,754,635,128,832
  5. Step 5: Solve for x
    x = 9,904,453,754,635,128,832/1,457,448,210
  6. Step 6: Final answer
    x = 6,795,750,055.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.