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Finding the Third Proportional to 405,254,976 and 955,703,808

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Solution

The third proportional to 405,254,976 and 955,703,808 is: 2,253,815,061.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,254,976 : 955,703,808 = 955,703,808 : x
  2. Step 2: Convert to fraction form
    405,254,976/955,703,808 = 955,703,808/x
  3. Step 3: Cross multiply
    405,254,976x = 955,703,808 × 955,703,808
  4. Step 4: Simplify right side
    405,254,976x = 913,369,768,625,700,864
  5. Step 5: Solve for x
    x = 913,369,768,625,700,864/405,254,976
  6. Step 6: Final answer
    x = 2,253,815,061.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.