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Finding the Third Proportional to 511,569,239 and 1,109,967,885.50

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Solution

The third proportional to 511,569,239 and 1,109,967,885.50 is: 2,408,332,270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,569,239 : 1,109,967,885.50 = 1,109,967,885.50 : x
  2. Step 2: Convert to fraction form
    511,569,239/1,109,967,885.50 = 1,109,967,885.50/x
  3. Step 3: Cross multiply
    511,569,239x = 1,109,967,885.50 × 1,109,967,885.50
  4. Step 4: Simplify right side
    511,569,239x = 1,232,028,706,841,341,184
  5. Step 5: Solve for x
    x = 1,232,028,706,841,341,184/511,569,239
  6. Step 6: Final answer
    x = 2,408,332,270.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.