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Finding the Third Proportional to 387,409,354,281 and 545,320,010,151

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Solution

The third proportional to 387,409,354,281 and 545,320,010,151 is: 767,596,110,380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,409,354,281 : 545,320,010,151 = 545,320,010,151 : x
  2. Step 2: Convert to fraction form
    387,409,354,281/545,320,010,151 = 545,320,010,151/x
  3. Step 3: Cross multiply
    387,409,354,281x = 545,320,010,151 × 545,320,010,151
  4. Step 4: Simplify right side
    387,409,354,281x = 297,373,913,471,086,739,062,784
  5. Step 5: Solve for x
    x = 297,373,913,471,086,739,062,784/387,409,354,281
  6. Step 6: Final answer
    x = 767,596,110,380.42

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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.