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Finding the Third Proportional to 254,695,428,528 and 545,169,512,208

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Solution

The third proportional to 254,695,428,528 and 545,169,512,208 is: 1,166,922,385,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,695,428,528 : 545,169,512,208 = 545,169,512,208 : x
  2. Step 2: Convert to fraction form
    254,695,428,528/545,169,512,208 = 545,169,512,208/x
  3. Step 3: Cross multiply
    254,695,428,528x = 545,169,512,208 × 545,169,512,208
  4. Step 4: Simplify right side
    254,695,428,528x = 297,209,797,041,108,671,266,816
  5. Step 5: Solve for x
    x = 297,209,797,041,108,671,266,816/254,695,428,528
  6. Step 6: Final answer
    x = 1,166,922,385,528.54

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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.