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Finding the Third Proportional to 354,712,472 and 828,768,425

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Solution

The third proportional to 354,712,472 and 828,768,425 is: 1,936,377,084.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,712,472 : 828,768,425 = 828,768,425 : x
  2. Step 2: Convert to fraction form
    354,712,472/828,768,425 = 828,768,425/x
  3. Step 3: Cross multiply
    354,712,472x = 828,768,425 × 828,768,425
  4. Step 4: Simplify right side
    354,712,472x = 686,857,102,276,980,608
  5. Step 5: Solve for x
    x = 686,857,102,276,980,608/354,712,472
  6. Step 6: Final answer
    x = 1,936,377,084.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.