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Finding the Third Proportional to 2,295,759,207,188 and 4,932,216,470,344

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Solution

The third proportional to 2,295,759,207,188 and 4,932,216,470,344 is: 10,596,389,740,773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295,759,207,188 : 4,932,216,470,344 = 4,932,216,470,344 : x
  2. Step 2: Convert to fraction form
    2,295,759,207,188/4,932,216,470,344 = 4,932,216,470,344/x
  3. Step 3: Cross multiply
    2,295,759,207,188x = 4,932,216,470,344 × 4,932,216,470,344
  4. Step 4: Simplify right side
    2,295,759,207,188x = 24,326,759,310,332,626,265,440,256
  5. Step 5: Solve for x
    x = 24,326,759,310,332,626,265,440,256/2,295,759,207,188
  6. Step 6: Final answer
    x = 10,596,389,740,773.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.