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Finding the Third Proportional to 405,525,218,623 and 844,423,468,915

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Solution

The third proportional to 405,525,218,623 and 844,423,468,915 is: 1,758,339,462,279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,525,218,623 : 844,423,468,915 = 844,423,468,915 : x
  2. Step 2: Convert to fraction form
    405,525,218,623/844,423,468,915 = 844,423,468,915/x
  3. Step 3: Cross multiply
    405,525,218,623x = 844,423,468,915 × 844,423,468,915
  4. Step 4: Simplify right side
    405,525,218,623x = 713,050,994,854,442,003,595,264
  5. Step 5: Solve for x
    x = 713,050,994,854,442,003,595,264/405,525,218,623
  6. Step 6: Final answer
    x = 1,758,339,462,279.75

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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.