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Finding the Third Proportional to 9,200,843,188 and 13,157,307,006

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Solution

The third proportional to 9,200,843,188 and 13,157,307,006 is: 18,815,093,803.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200,843,188 : 13,157,307,006 = 13,157,307,006 : x
  2. Step 2: Convert to fraction form
    9,200,843,188/13,157,307,006 = 13,157,307,006/x
  3. Step 3: Cross multiply
    9,200,843,188x = 13,157,307,006 × 13,157,307,006
  4. Step 4: Simplify right side
    9,200,843,188x = 173,114,727,650,136,686,592
  5. Step 5: Solve for x
    x = 173,114,727,650,136,686,592/9,200,843,188
  6. Step 6: Final answer
    x = 18,815,093,803.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.