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Finding the Third Proportional to 265,828,226,760 and 571,974,212,785.50

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Solution

The third proportional to 265,828,226,760 and 571,974,212,785.50 is: 1,230,698,876,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,828,226,760 : 571,974,212,785.50 = 571,974,212,785.50 : x
  2. Step 2: Convert to fraction form
    265,828,226,760/571,974,212,785.50 = 571,974,212,785.50/x
  3. Step 3: Cross multiply
    265,828,226,760x = 571,974,212,785.50 × 571,974,212,785.50
  4. Step 4: Simplify right side
    265,828,226,760x = 327,154,500,091,592,455,487,488
  5. Step 5: Solve for x
    x = 327,154,500,091,592,455,487,488/265,828,226,760
  6. Step 6: Final answer
    x = 1,230,698,876,786.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.