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Finding the Third Proportional to 3,542,838,280 and 7,611,445,164

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Solution

The third proportional to 3,542,838,280 and 7,611,445,164 is: 16,352,453,289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542,838,280 : 7,611,445,164 = 7,611,445,164 : x
  2. Step 2: Convert to fraction form
    3,542,838,280/7,611,445,164 = 7,611,445,164/x
  3. Step 3: Cross multiply
    3,542,838,280x = 7,611,445,164 × 7,611,445,164
  4. Step 4: Simplify right side
    3,542,838,280x = 57,934,097,484,578,988,032
  5. Step 5: Solve for x
    x = 57,934,097,484,578,988,032/3,542,838,280
  6. Step 6: Final answer
    x = 16,352,453,289.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.