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Finding the Third Proportional to 493,740,072 and 672,497,028

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Solution

The third proportional to 493,740,072 and 672,497,028 is: 915,972,347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,740,072 : 672,497,028 = 672,497,028 : x
  2. Step 2: Convert to fraction form
    493,740,072/672,497,028 = 672,497,028/x
  3. Step 3: Cross multiply
    493,740,072x = 672,497,028 × 672,497,028
  4. Step 4: Simplify right side
    493,740,072x = 452,252,252,668,832,768
  5. Step 5: Solve for x
    x = 452,252,252,668,832,768/493,740,072
  6. Step 6: Final answer
    x = 915,972,347.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.