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Finding the Third Proportional to 21,678,771 and 31,919,344.50

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Solution

The third proportional to 21,678,771 and 31,919,344.50 is: 46,997,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678,771 : 31,919,344.50 = 31,919,344.50 : x
  2. Step 2: Convert to fraction form
    21,678,771/31,919,344.50 = 31,919,344.50/x
  3. Step 3: Cross multiply
    21,678,771x = 31,919,344.50 × 31,919,344.50
  4. Step 4: Simplify right side
    21,678,771x = 1,018,844,553,309,680.25
  5. Step 5: Solve for x
    x = 1,018,844,553,309,680.25/21,678,771
  6. Step 6: Final answer
    x = 46,997,339.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.