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Finding the Third Proportional to 4,346,012,596 and 9,414,025,592

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Solution

The third proportional to 4,346,012,596 and 9,414,025,592 is: 20,391,997,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346,012,596 : 9,414,025,592 = 9,414,025,592 : x
  2. Step 2: Convert to fraction form
    4,346,012,596/9,414,025,592 = 9,414,025,592/x
  3. Step 3: Cross multiply
    4,346,012,596x = 9,414,025,592 × 9,414,025,592
  4. Step 4: Simplify right side
    4,346,012,596x = 88,623,877,846,830,956,544
  5. Step 5: Solve for x
    x = 88,623,877,846,830,956,544/4,346,012,596
  6. Step 6: Final answer
    x = 20,391,997,466.46

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