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Finding the Third Proportional to 1,455,423,900 and 3,165,853,125

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Solution

The third proportional to 1,455,423,900 and 3,165,853,125 is: 6,886,396,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455,423,900 : 3,165,853,125 = 3,165,853,125 : x
  2. Step 2: Convert to fraction form
    1,455,423,900/3,165,853,125 = 3,165,853,125/x
  3. Step 3: Cross multiply
    1,455,423,900x = 3,165,853,125 × 3,165,853,125
  4. Step 4: Simplify right side
    1,455,423,900x = 10,022,626,009,072,265,216
  5. Step 5: Solve for x
    x = 10,022,626,009,072,265,216/1,455,423,900
  6. Step 6: Final answer
    x = 6,886,396,471.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.