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Finding the Third Proportional to 21,678,478.50 and 31,159,582.50

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Solution

The third proportional to 21,678,478.50 and 31,159,582.50 is: 44,787,256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678,478.50 : 31,159,582.50 = 31,159,582.50 : x
  2. Step 2: Convert to fraction form
    21,678,478.50/31,159,582.50 = 31,159,582.50/x
  3. Step 3: Cross multiply
    21,678,478.50x = 31,159,582.50 × 31,159,582.50
  4. Step 4: Simplify right side
    21,678,478.50x = 970,919,581,574,306.25
  5. Step 5: Solve for x
    x = 970,919,581,574,306.25/21,678,478.50
  6. Step 6: Final answer
    x = 44,787,256.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.