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Finding the Third Proportional to 14,782,092 and 31,607,032

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Solution

The third proportional to 14,782,092 and 31,607,032 is: 67,582,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782,092 : 31,607,032 = 31,607,032 : x
  2. Step 2: Convert to fraction form
    14,782,092/31,607,032 = 31,607,032/x
  3. Step 3: Cross multiply
    14,782,092x = 31,607,032 × 31,607,032
  4. Step 4: Simplify right side
    14,782,092x = 999,004,471,849,024
  5. Step 5: Solve for x
    x = 999,004,471,849,024/14,782,092
  6. Step 6: Final answer
    x = 67,582,076.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.