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Finding the Third Proportional to 124,751,654,104 and 272,363,767,730

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Solution

The third proportional to 124,751,654,104 and 272,363,767,730 is: 594,637,582,201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,751,654,104 : 272,363,767,730 = 272,363,767,730 : x
  2. Step 2: Convert to fraction form
    124,751,654,104/272,363,767,730 = 272,363,767,730/x
  3. Step 3: Cross multiply
    124,751,654,104x = 272,363,767,730 × 272,363,767,730
  4. Step 4: Simplify right side
    124,751,654,104x = 74,182,021,972,081,388,814,336
  5. Step 5: Solve for x
    x = 74,182,021,972,081,388,814,336/124,751,654,104
  6. Step 6: Final answer
    x = 594,637,582,201.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.