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Finding the Third Proportional to 327,868,218 and 710,217,519.75

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Solution

The third proportional to 327,868,218 and 710,217,519.75 is: 1,538,450,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,868,218 : 710,217,519.75 = 710,217,519.75 : x
  2. Step 2: Convert to fraction form
    327,868,218/710,217,519.75 = 710,217,519.75/x
  3. Step 3: Cross multiply
    327,868,218x = 710,217,519.75 × 710,217,519.75
  4. Step 4: Simplify right side
    327,868,218x = 504,408,925,359,841,664
  5. Step 5: Solve for x
    x = 504,408,925,359,841,664/327,868,218
  6. Step 6: Final answer
    x = 1,538,450,199.40

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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.