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Finding the Third Proportional to 451,402,488 and 635,674,174.50

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Solution

The third proportional to 451,402,488 and 635,674,174.50 is: 895,169,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,402,488 : 635,674,174.50 = 635,674,174.50 : x
  2. Step 2: Convert to fraction form
    451,402,488/635,674,174.50 = 635,674,174.50/x
  3. Step 3: Cross multiply
    451,402,488x = 635,674,174.50 × 635,674,174.50
  4. Step 4: Simplify right side
    451,402,488x = 404,081,656,126,256,448
  5. Step 5: Solve for x
    x = 404,081,656,126,256,448/451,402,488
  6. Step 6: Final answer
    x = 895,169,315.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.