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Finding the Third Proportional to 405,525,218,402.82 and 844,423,468,497.54

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Solution

The third proportional to 405,525,218,402.82 and 844,423,468,497.54 is: 1,758,339,461,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,525,218,402.82 : 844,423,468,497.54 = 844,423,468,497.54 : x
  2. Step 2: Convert to fraction form
    405,525,218,402.82/844,423,468,497.54 = 844,423,468,497.54/x
  3. Step 3: Cross multiply
    405,525,218,402.82x = 844,423,468,497.54 × 844,423,468,497.54
  4. Step 4: Simplify right side
    405,525,218,402.82x = 713,050,994,149,416,008,417,280
  5. Step 5: Solve for x
    x = 713,050,994,149,416,008,417,280/405,525,218,402.82
  6. Step 6: Final answer
    x = 1,758,339,461,495.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.