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Finding the Third Proportional to 283,155,951,141 and 606,700,488,078

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Solution

The third proportional to 283,155,951,141 and 606,700,488,078 is: 1,299,939,064,500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,155,951,141 : 606,700,488,078 = 606,700,488,078 : x
  2. Step 2: Convert to fraction form
    283,155,951,141/606,700,488,078 = 606,700,488,078/x
  3. Step 3: Cross multiply
    283,155,951,141x = 606,700,488,078 × 606,700,488,078
  4. Step 4: Simplify right side
    283,155,951,141x = 368,085,482,234,083,436,134,400
  5. Step 5: Solve for x
    x = 368,085,482,234,083,436,134,400/283,155,951,141
  6. Step 6: Final answer
    x = 1,299,939,064,500.86

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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.