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Finding the Third Proportional to 816,705,106 and 1,255,334,247

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Solution

The third proportional to 816,705,106 and 1,255,334,247 is: 1,929,538,654.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,705,106 : 1,255,334,247 = 1,255,334,247 : x
  2. Step 2: Convert to fraction form
    816,705,106/1,255,334,247 = 1,255,334,247/x
  3. Step 3: Cross multiply
    816,705,106x = 1,255,334,247 × 1,255,334,247
  4. Step 4: Simplify right side
    816,705,106x = 1,575,864,071,691,056,896
  5. Step 5: Solve for x
    x = 1,575,864,071,691,056,896/816,705,106
  6. Step 6: Final answer
    x = 1,929,538,654.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.