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Finding the Third Proportional to 1,385,264,295 and 2,146,778,250.75

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Solution

The third proportional to 1,385,264,295 and 2,146,778,250.75 is: 3,326,915,213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385,264,295 : 2,146,778,250.75 = 2,146,778,250.75 : x
  2. Step 2: Convert to fraction form
    1,385,264,295/2,146,778,250.75 = 2,146,778,250.75/x
  3. Step 3: Cross multiply
    1,385,264,295x = 2,146,778,250.75 × 2,146,778,250.75
  4. Step 4: Simplify right side
    1,385,264,295x = 4,608,656,857,893,230,080
  5. Step 5: Solve for x
    x = 4,608,656,857,893,230,080/1,385,264,295
  6. Step 6: Final answer
    x = 3,326,915,213.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.