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Finding the Third Proportional to 14,905,898.44 and 21,866,724.56

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Solution

The third proportional to 14,905,898.44 and 21,866,724.56 is: 32,078,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905,898.44 : 21,866,724.56 = 21,866,724.56 : x
  2. Step 2: Convert to fraction form
    14,905,898.44/21,866,724.56 = 21,866,724.56/x
  3. Step 3: Cross multiply
    14,905,898.44x = 21,866,724.56 × 21,866,724.56
  4. Step 4: Simplify right side
    14,905,898.44x = 478,153,643,092,240.81
  5. Step 5: Solve for x
    x = 478,153,643,092,240.81/14,905,898.44
  6. Step 6: Final answer
    x = 32,078,149.81

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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.