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Finding the Third Proportional to 2,181,258,756 and 3,454,500,276

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Solution

The third proportional to 2,181,258,756 and 3,454,500,276 is: 5,470,956,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181,258,756 : 3,454,500,276 = 3,454,500,276 : x
  2. Step 2: Convert to fraction form
    2,181,258,756/3,454,500,276 = 3,454,500,276/x
  3. Step 3: Cross multiply
    2,181,258,756x = 3,454,500,276 × 3,454,500,276
  4. Step 4: Simplify right side
    2,181,258,756x = 11,933,572,156,884,076,544
  5. Step 5: Solve for x
    x = 11,933,572,156,884,076,544/2,181,258,756
  6. Step 6: Final answer
    x = 5,470,956,677.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.