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Finding the Third Proportional to 2,256,918,000 and 3,485,995,896

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Solution

The third proportional to 2,256,918,000 and 3,485,995,896 is: 5,384,408,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256,918,000 : 3,485,995,896 = 3,485,995,896 : x
  2. Step 2: Convert to fraction form
    2,256,918,000/3,485,995,896 = 3,485,995,896/x
  3. Step 3: Cross multiply
    2,256,918,000x = 3,485,995,896 × 3,485,995,896
  4. Step 4: Simplify right side
    2,256,918,000x = 12,152,167,386,928,842,752
  5. Step 5: Solve for x
    x = 12,152,167,386,928,842,752/2,256,918,000
  6. Step 6: Final answer
    x = 5,384,408,023.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.