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Finding the Third Proportional to 320,790,081,854 and 679,825,830,107

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Solution

The third proportional to 320,790,081,854 and 679,825,830,107 is: 1,440,702,769,267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,790,081,854 : 679,825,830,107 = 679,825,830,107 : x
  2. Step 2: Convert to fraction form
    320,790,081,854/679,825,830,107 = 679,825,830,107/x
  3. Step 3: Cross multiply
    320,790,081,854x = 679,825,830,107 × 679,825,830,107
  4. Step 4: Simplify right side
    320,790,081,854x = 462,163,159,280,671,604,604,928
  5. Step 5: Solve for x
    x = 462,163,159,280,671,604,604,928/320,790,081,854
  6. Step 6: Final answer
    x = 1,440,702,769,267.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.