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Finding the Third Proportional to 241,251,933 and 526,746,537

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Solution

The third proportional to 241,251,933 and 526,746,537 is: 1,150,091,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,251,933 : 526,746,537 = 526,746,537 : x
  2. Step 2: Convert to fraction form
    241,251,933/526,746,537 = 526,746,537/x
  3. Step 3: Cross multiply
    241,251,933x = 526,746,537 × 526,746,537
  4. Step 4: Simplify right side
    241,251,933x = 277,461,914,241,492,384
  5. Step 5: Solve for x
    x = 277,461,914,241,492,384/241,251,933
  6. Step 6: Final answer
    x = 1,150,091,983.89

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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.