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Finding the Third Proportional to 1,501,230,970.05 and 3,126,716,721

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Solution

The third proportional to 1,501,230,970.05 and 3,126,716,721 is: 6,512,227,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501,230,970.05 : 3,126,716,721 = 3,126,716,721 : x
  2. Step 2: Convert to fraction form
    1,501,230,970.05/3,126,716,721 = 3,126,716,721/x
  3. Step 3: Cross multiply
    1,501,230,970.05x = 3,126,716,721 × 3,126,716,721
  4. Step 4: Simplify right side
    1,501,230,970.05x = 9,776,357,453,380,990,976
  5. Step 5: Solve for x
    x = 9,776,357,453,380,990,976/1,501,230,970.05
  6. Step 6: Final answer
    x = 6,512,227,397.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.