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Finding the Third Proportional to 554,817,548 and 816,138,514

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Solution

The third proportional to 554,817,548 and 816,138,514 is: 1,200,542,550.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,817,548 : 816,138,514 = 816,138,514 : x
  2. Step 2: Convert to fraction form
    554,817,548/816,138,514 = 816,138,514/x
  3. Step 3: Cross multiply
    554,817,548x = 816,138,514 × 816,138,514
  4. Step 4: Simplify right side
    554,817,548x = 666,082,074,034,128,256
  5. Step 5: Solve for x
    x = 666,082,074,034,128,256/554,817,548
  6. Step 6: Final answer
    x = 1,200,542,550.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.