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Finding the Third Proportional to 1,550,470,776 and 2,383,180,524

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Solution

The third proportional to 1,550,470,776 and 2,383,180,524 is: 3,663,112,841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550,470,776 : 2,383,180,524 = 2,383,180,524 : x
  2. Step 2: Convert to fraction form
    1,550,470,776/2,383,180,524 = 2,383,180,524/x
  3. Step 3: Cross multiply
    1,550,470,776x = 2,383,180,524 × 2,383,180,524
  4. Step 4: Simplify right side
    1,550,470,776x = 5,679,549,409,972,914,176
  5. Step 5: Solve for x
    x = 5,679,549,409,972,914,176/1,550,470,776
  6. Step 6: Final answer
    x = 3,663,112,841.52

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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.