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Finding the Third Proportional to 634,433,859 and 969,885,855

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Solution

The third proportional to 634,433,859 and 969,885,855 is: 1,482,705,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,433,859 : 969,885,855 = 969,885,855 : x
  2. Step 2: Convert to fraction form
    634,433,859/969,885,855 = 969,885,855/x
  3. Step 3: Cross multiply
    634,433,859x = 969,885,855 × 969,885,855
  4. Step 4: Simplify right side
    634,433,859x = 940,678,571,729,081,088
  5. Step 5: Solve for x
    x = 940,678,571,729,081,088/634,433,859
  6. Step 6: Final answer
    x = 1,482,705,499.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.