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Finding the Third Proportional to 1,270,377,114 and 2,751,802,643

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Solution

The third proportional to 1,270,377,114 and 2,751,802,643 is: 5,960,763,699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,377,114 : 2,751,802,643 = 2,751,802,643 : x
  2. Step 2: Convert to fraction form
    1,270,377,114/2,751,802,643 = 2,751,802,643/x
  3. Step 3: Cross multiply
    1,270,377,114x = 2,751,802,643 × 2,751,802,643
  4. Step 4: Simplify right side
    1,270,377,114x = 7,572,417,786,021,785,600
  5. Step 5: Solve for x
    x = 7,572,417,786,021,785,600/1,270,377,114
  6. Step 6: Final answer
    x = 5,960,763,699.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.