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Finding the Third Proportional to 121,794,961,270 and 253,613,132,654

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Solution

The third proportional to 121,794,961,270 and 253,613,132,654 is: 528,097,553,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,794,961,270 : 253,613,132,654 = 253,613,132,654 : x
  2. Step 2: Convert to fraction form
    121,794,961,270/253,613,132,654 = 253,613,132,654/x
  3. Step 3: Cross multiply
    121,794,961,270x = 253,613,132,654 × 253,613,132,654
  4. Step 4: Simplify right side
    121,794,961,270x = 64,319,621,054,575,400,714,240
  5. Step 5: Solve for x
    x = 64,319,621,054,575,400,714,240/121,794,961,270
  6. Step 6: Final answer
    x = 528,097,553,329.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.