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Finding the Third Proportional to 377,677,624 and 812,750,944

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Solution

The third proportional to 377,677,624 and 812,750,944 is: 1,749,015,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,677,624 : 812,750,944 = 812,750,944 : x
  2. Step 2: Convert to fraction form
    377,677,624/812,750,944 = 812,750,944/x
  3. Step 3: Cross multiply
    377,677,624x = 812,750,944 × 812,750,944
  4. Step 4: Simplify right side
    377,677,624x = 660,564,096,972,891,136
  5. Step 5: Solve for x
    x = 660,564,096,972,891,136/377,677,624
  6. Step 6: Final answer
    x = 1,749,015,708.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.