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Finding the Third Proportional to 426,143,326,088.50 and 927,305,063,027.50

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Solution

The third proportional to 426,143,326,088.50 and 927,305,063,027.50 is: 2,017,853,213,399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,143,326,088.50 : 927,305,063,027.50 = 927,305,063,027.50 : x
  2. Step 2: Convert to fraction form
    426,143,326,088.50/927,305,063,027.50 = 927,305,063,027.50/x
  3. Step 3: Cross multiply
    426,143,326,088.50x = 927,305,063,027.50 × 927,305,063,027.50
  4. Step 4: Simplify right side
    426,143,326,088.50x = 859,894,679,916,435,751,305,216
  5. Step 5: Solve for x
    x = 859,894,679,916,435,751,305,216/426,143,326,088.50
  6. Step 6: Final answer
    x = 2,017,853,213,399.51

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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.