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Finding the Third Proportional to 250,740,416 and 526,861,696

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Solution

The third proportional to 250,740,416 and 526,861,696 is: 1,107,054,264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,740,416 : 526,861,696 = 526,861,696 : x
  2. Step 2: Convert to fraction form
    250,740,416/526,861,696 = 526,861,696/x
  3. Step 3: Cross multiply
    250,740,416x = 526,861,696 × 526,861,696
  4. Step 4: Simplify right side
    250,740,416x = 277,583,246,711,996,416
  5. Step 5: Solve for x
    x = 277,583,246,711,996,416/250,740,416
  6. Step 6: Final answer
    x = 1,107,054,264.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.