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Finding the Third Proportional to 254,695,461,744 and 545,169,579,936

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Solution

The third proportional to 254,695,461,744 and 545,169,579,936 is: 1,166,922,523,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,695,461,744 : 545,169,579,936 = 545,169,579,936 : x
  2. Step 2: Convert to fraction form
    254,695,461,744/545,169,579,936 = 545,169,579,936/x
  3. Step 3: Cross multiply
    254,695,461,744x = 545,169,579,936 × 545,169,579,936
  4. Step 4: Simplify right side
    254,695,461,744x = 297,209,870,887,594,705,813,504
  5. Step 5: Solve for x
    x = 297,209,870,887,594,705,813,504/254,695,461,744
  6. Step 6: Final answer
    x = 1,166,922,523,285.19

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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.