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Finding the Third Proportional to 283,621,120 and 616,935,252

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Solution

The third proportional to 283,621,120 and 616,935,252 is: 1,341,963,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,621,120 : 616,935,252 = 616,935,252 : x
  2. Step 2: Convert to fraction form
    283,621,120/616,935,252 = 616,935,252/x
  3. Step 3: Cross multiply
    283,621,120x = 616,935,252 × 616,935,252
  4. Step 4: Simplify right side
    283,621,120x = 380,609,105,160,303,488
  5. Step 5: Solve for x
    x = 380,609,105,160,303,488/283,621,120
  6. Step 6: Final answer
    x = 1,341,963,197.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.