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Finding the Third Proportional to 634,855,951.13 and 1,327,597,911

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Solution

The third proportional to 634,855,951.13 and 1,327,597,911 is: 2,776,245,871.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,855,951.13 : 1,327,597,911 = 1,327,597,911 : x
  2. Step 2: Convert to fraction form
    634,855,951.13/1,327,597,911 = 1,327,597,911/x
  3. Step 3: Cross multiply
    634,855,951.13x = 1,327,597,911 × 1,327,597,911
  4. Step 4: Simplify right side
    634,855,951.13x = 1,762,516,213,291,564,032
  5. Step 5: Solve for x
    x = 1,762,516,213,291,564,032/634,855,951.13
  6. Step 6: Final answer
    x = 2,776,245,871.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.