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Finding the Third Proportional to 129,901,952 and 282,671,884

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Solution

The third proportional to 129,901,952 and 282,671,884 is: 615,105,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,901,952 : 282,671,884 = 282,671,884 : x
  2. Step 2: Convert to fraction form
    129,901,952/282,671,884 = 282,671,884/x
  3. Step 3: Cross multiply
    129,901,952x = 282,671,884 × 282,671,884
  4. Step 4: Simplify right side
    129,901,952x = 79,903,394,004,109,456
  5. Step 5: Solve for x
    x = 79,903,394,004,109,456/129,901,952
  6. Step 6: Final answer
    x = 615,105,414.31

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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.