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Finding the Third Proportional to 7,692,100 and 16,413,746

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Solution

The third proportional to 7,692,100 and 16,413,746 is: 35,024,383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692,100 : 16,413,746 = 16,413,746 : x
  2. Step 2: Convert to fraction form
    7,692,100/16,413,746 = 16,413,746/x
  3. Step 3: Cross multiply
    7,692,100x = 16,413,746 × 16,413,746
  4. Step 4: Simplify right side
    7,692,100x = 269,411,057,752,516
  5. Step 5: Solve for x
    x = 269,411,057,752,516/7,692,100
  6. Step 6: Final answer
    x = 35,024,383.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.