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Finding the Third Proportional to 269,915,510,346 and 562,171,768,062

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Solution

The third proportional to 269,915,510,346 and 562,171,768,062 is: 1,170,874,161,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,915,510,346 : 562,171,768,062 = 562,171,768,062 : x
  2. Step 2: Convert to fraction form
    269,915,510,346/562,171,768,062 = 562,171,768,062/x
  3. Step 3: Cross multiply
    269,915,510,346x = 562,171,768,062 × 562,171,768,062
  4. Step 4: Simplify right side
    269,915,510,346x = 316,037,096,805,955,153,166,336
  5. Step 5: Solve for x
    x = 316,037,096,805,955,153,166,336/269,915,510,346
  6. Step 6: Final answer
    x = 1,170,874,161,328.61

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.