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Finding the Third Proportional to 265,828,226,762 and 571,974,212,790

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Solution

The third proportional to 265,828,226,762 and 571,974,212,790 is: 1,230,698,876,796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,828,226,762 : 571,974,212,790 = 571,974,212,790 : x
  2. Step 2: Convert to fraction form
    265,828,226,762/571,974,212,790 = 571,974,212,790/x
  3. Step 3: Cross multiply
    265,828,226,762x = 571,974,212,790 × 571,974,212,790
  4. Step 4: Simplify right side
    265,828,226,762x = 327,154,500,096,740,175,118,336
  5. Step 5: Solve for x
    x = 327,154,500,096,740,175,118,336/265,828,226,762
  6. Step 6: Final answer
    x = 1,230,698,876,796.28

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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.