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Finding the Third Proportional to 23,432,961,072 and 51,342,728,592

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Solution

The third proportional to 23,432,961,072 and 51,342,728,592 is: 112,494,352,342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,432,961,072 : 51,342,728,592 = 51,342,728,592 : x
  2. Step 2: Convert to fraction form
    23,432,961,072/51,342,728,592 = 51,342,728,592/x
  3. Step 3: Cross multiply
    23,432,961,072x = 51,342,728,592 × 51,342,728,592
  4. Step 4: Simplify right side
    23,432,961,072x = 2,636,075,779,271,774,175,232
  5. Step 5: Solve for x
    x = 2,636,075,779,271,774,175,232/23,432,961,072
  6. Step 6: Final answer
    x = 112,494,352,342.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.