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Finding the Third Proportional to 14,177,673 and 21,262,135.50

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Solution

The third proportional to 14,177,673 and 21,262,135.50 is: 31,886,643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,177,673 : 21,262,135.50 = 21,262,135.50 : x
  2. Step 2: Convert to fraction form
    14,177,673/21,262,135.50 = 21,262,135.50/x
  3. Step 3: Cross multiply
    14,177,673x = 21,262,135.50 × 21,262,135.50
  4. Step 4: Simplify right side
    14,177,673x = 452,078,406,020,360.25
  5. Step 5: Solve for x
    x = 452,078,406,020,360.25/14,177,673
  6. Step 6: Final answer
    x = 31,886,643.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.