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Finding the Third Proportional to 47,270,136 and 102,822,468

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Solution

The third proportional to 47,270,136 and 102,822,468 is: 223,660,450.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,270,136 : 102,822,468 = 102,822,468 : x
  2. Step 2: Convert to fraction form
    47,270,136/102,822,468 = 102,822,468/x
  3. Step 3: Cross multiply
    47,270,136x = 102,822,468 × 102,822,468
  4. Step 4: Simplify right side
    47,270,136x = 10,572,459,925,611,024
  5. Step 5: Solve for x
    x = 10,572,459,925,611,024/47,270,136
  6. Step 6: Final answer
    x = 223,660,450.77

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