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Finding the Third Proportional to 254,695,428,470 and 545,169,512,090

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Solution

The third proportional to 254,695,428,470 and 545,169,512,090 is: 1,166,922,385,289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,695,428,470 : 545,169,512,090 = 545,169,512,090 : x
  2. Step 2: Convert to fraction form
    254,695,428,470/545,169,512,090 = 545,169,512,090/x
  3. Step 3: Cross multiply
    254,695,428,470x = 545,169,512,090 × 545,169,512,090
  4. Step 4: Simplify right side
    254,695,428,470x = 297,209,796,912,448,664,502,272
  5. Step 5: Solve for x
    x = 297,209,796,912,448,664,502,272/254,695,428,470
  6. Step 6: Final answer
    x = 1,166,922,385,289.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.