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Finding the Third Proportional to 16,583,497 and 35,883,369

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Solution

The third proportional to 16,583,497 and 35,883,369 is: 77,644,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,583,497 : 35,883,369 = 35,883,369 : x
  2. Step 2: Convert to fraction form
    16,583,497/35,883,369 = 35,883,369/x
  3. Step 3: Cross multiply
    16,583,497x = 35,883,369 × 35,883,369
  4. Step 4: Simplify right side
    16,583,497x = 1,287,616,170,790,161
  5. Step 5: Solve for x
    x = 1,287,616,170,790,161/16,583,497
  6. Step 6: Final answer
    x = 77,644,429.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.