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Finding the Third Proportional to 47,921,025 and 68,527,623

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Solution

The third proportional to 47,921,025 and 68,527,623 is: 97,995,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,921,025 : 68,527,623 = 68,527,623 : x
  2. Step 2: Convert to fraction form
    47,921,025/68,527,623 = 68,527,623/x
  3. Step 3: Cross multiply
    47,921,025x = 68,527,623 × 68,527,623
  4. Step 4: Simplify right side
    47,921,025x = 4,696,035,114,030,129
  5. Step 5: Solve for x
    x = 4,696,035,114,030,129/47,921,025
  6. Step 6: Final answer
    x = 97,995,297.76

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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.