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Finding the Third Proportional to 1,705,749,372 and 2,579,619,258

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Solution

The third proportional to 1,705,749,372 and 2,579,619,258 is: 3,901,180,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,749,372 : 2,579,619,258 = 2,579,619,258 : x
  2. Step 2: Convert to fraction form
    1,705,749,372/2,579,619,258 = 2,579,619,258/x
  3. Step 3: Cross multiply
    1,705,749,372x = 2,579,619,258 × 2,579,619,258
  4. Step 4: Simplify right side
    1,705,749,372x = 6,654,435,516,244,470,784
  5. Step 5: Solve for x
    x = 6,654,435,516,244,470,784/1,705,749,372
  6. Step 6: Final answer
    x = 3,901,180,106.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.