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Finding the Third Proportional to 7,693,640 and 16,417,032

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Solution

The third proportional to 7,693,640 and 16,417,032 is: 35,031,394.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693,640 : 16,417,032 = 16,417,032 : x
  2. Step 2: Convert to fraction form
    7,693,640/16,417,032 = 16,417,032/x
  3. Step 3: Cross multiply
    7,693,640x = 16,417,032 × 16,417,032
  4. Step 4: Simplify right side
    7,693,640x = 269,518,939,689,024
  5. Step 5: Solve for x
    x = 269,518,939,689,024/7,693,640
  6. Step 6: Final answer
    x = 35,031,394.72

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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.