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Finding the Third Proportional to 2,358,291,105 and 5,047,866,054

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Solution

The third proportional to 2,358,291,105 and 5,047,866,054 is: 10,804,837,301.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358,291,105 : 5,047,866,054 = 5,047,866,054 : x
  2. Step 2: Convert to fraction form
    2,358,291,105/5,047,866,054 = 5,047,866,054/x
  3. Step 3: Cross multiply
    2,358,291,105x = 5,047,866,054 × 5,047,866,054
  4. Step 4: Simplify right side
    2,358,291,105x = 25,480,951,699,125,530,624
  5. Step 5: Solve for x
    x = 25,480,951,699,125,530,624/2,358,291,105
  6. Step 6: Final answer
    x = 10,804,837,301.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.