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Finding the Third Proportional to 376,036,427 and 824,714,302

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Solution

The third proportional to 376,036,427 and 824,714,302 is: 1,808,744,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,036,427 : 824,714,302 = 824,714,302 : x
  2. Step 2: Convert to fraction form
    376,036,427/824,714,302 = 824,714,302/x
  3. Step 3: Cross multiply
    376,036,427x = 824,714,302 × 824,714,302
  4. Step 4: Simplify right side
    376,036,427x = 680,153,679,923,347,200
  5. Step 5: Solve for x
    x = 680,153,679,923,347,200/376,036,427
  6. Step 6: Final answer
    x = 1,808,744,129.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.