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Finding the Third Proportional to 387,409,354,287 and 545,320,010,160

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Solution

The third proportional to 387,409,354,287 and 545,320,010,160 is: 767,596,110,393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,409,354,287 : 545,320,010,160 = 545,320,010,160 : x
  2. Step 2: Convert to fraction form
    387,409,354,287/545,320,010,160 = 545,320,010,160/x
  3. Step 3: Cross multiply
    387,409,354,287x = 545,320,010,160 × 545,320,010,160
  4. Step 4: Simplify right side
    387,409,354,287x = 297,373,913,480,902,517,719,040
  5. Step 5: Solve for x
    x = 297,373,913,480,902,517,719,040/387,409,354,287
  6. Step 6: Final answer
    x = 767,596,110,393.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.