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Finding the Third Proportional to 1,480,500,871 and 2,299,819,755

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Solution

The third proportional to 1,480,500,871 and 2,299,819,755 is: 3,572,555,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480,500,871 : 2,299,819,755 = 2,299,819,755 : x
  2. Step 2: Convert to fraction form
    1,480,500,871/2,299,819,755 = 2,299,819,755/x
  3. Step 3: Cross multiply
    1,480,500,871x = 2,299,819,755 × 2,299,819,755
  4. Step 4: Simplify right side
    1,480,500,871x = 5,289,170,905,488,260,096
  5. Step 5: Solve for x
    x = 5,289,170,905,488,260,096/1,480,500,871
  6. Step 6: Final answer
    x = 3,572,555,078.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.