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Finding the Third Proportional to 241,251,931 and 526,746,532

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Solution

The third proportional to 241,251,931 and 526,746,532 is: 1,150,091,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,251,931 : 526,746,532 = 526,746,532 : x
  2. Step 2: Convert to fraction form
    241,251,931/526,746,532 = 526,746,532/x
  3. Step 3: Cross multiply
    241,251,931x = 526,746,532 × 526,746,532
  4. Step 4: Simplify right side
    241,251,931x = 277,461,908,974,027,008
  5. Step 5: Solve for x
    x = 277,461,908,974,027,008/241,251,931
  6. Step 6: Final answer
    x = 1,150,091,971.59

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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.