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Finding the Third Proportional to 63,673,858,668 and 136,292,381,160

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Solution

The third proportional to 63,673,858,668 and 136,292,381,160 is: 291,730,602,649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,673,858,668 : 136,292,381,160 = 136,292,381,160 : x
  2. Step 2: Convert to fraction form
    63,673,858,668/136,292,381,160 = 136,292,381,160/x
  3. Step 3: Cross multiply
    63,673,858,668x = 136,292,381,160 × 136,292,381,160
  4. Step 4: Simplify right side
    63,673,858,668x = 18,575,613,162,262,722,772,992
  5. Step 5: Solve for x
    x = 18,575,613,162,262,722,772,992/63,673,858,668
  6. Step 6: Final answer
    x = 291,730,602,649.94

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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.