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Finding the Third Proportional to 458,148,486 and 971,270,633.25

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Solution

The third proportional to 458,148,486 and 971,270,633.25 is: 2,059,084,929.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,148,486 : 971,270,633.25 = 971,270,633.25 : x
  2. Step 2: Convert to fraction form
    458,148,486/971,270,633.25 = 971,270,633.25/x
  3. Step 3: Cross multiply
    458,148,486x = 971,270,633.25 × 971,270,633.25
  4. Step 4: Simplify right side
    458,148,486x = 943,366,643,013,856,000
  5. Step 5: Solve for x
    x = 943,366,643,013,856,000/458,148,486
  6. Step 6: Final answer
    x = 2,059,084,929.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.