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Finding the Third Proportional to 57,095,316 and 81,391,446

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Solution

The third proportional to 57,095,316 and 81,391,446 is: 116,026,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,095,316 : 81,391,446 = 81,391,446 : x
  2. Step 2: Convert to fraction form
    57,095,316/81,391,446 = 81,391,446/x
  3. Step 3: Cross multiply
    57,095,316x = 81,391,446 × 81,391,446
  4. Step 4: Simplify right side
    57,095,316x = 6,624,567,481,970,916
  5. Step 5: Solve for x
    x = 6,624,567,481,970,916/57,095,316
  6. Step 6: Final answer
    x = 116,026,461.47

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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.