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Finding the Third Proportional to 3,634,455,859 and 7,905,705,993

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Solution

The third proportional to 3,634,455,859 and 7,905,705,993 is: 17,196,573,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634,455,859 : 7,905,705,993 = 7,905,705,993 : x
  2. Step 2: Convert to fraction form
    3,634,455,859/7,905,705,993 = 7,905,705,993/x
  3. Step 3: Cross multiply
    3,634,455,859x = 7,905,705,993 × 7,905,705,993
  4. Step 4: Simplify right side
    3,634,455,859x = 62,500,187,247,756,115,968
  5. Step 5: Solve for x
    x = 62,500,187,247,756,115,968/3,634,455,859
  6. Step 6: Final answer
    x = 17,196,573,482.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.