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Finding the Third Proportional to 10,968,229.13 and 23,766,970.50

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Solution

The third proportional to 10,968,229.13 and 23,766,970.50 is: 51,500,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968,229.13 : 23,766,970.50 = 23,766,970.50 : x
  2. Step 2: Convert to fraction form
    10,968,229.13/23,766,970.50 = 23,766,970.50/x
  3. Step 3: Cross multiply
    10,968,229.13x = 23,766,970.50 × 23,766,970.50
  4. Step 4: Simplify right side
    10,968,229.13x = 564,868,886,747,870.25
  5. Step 5: Solve for x
    x = 564,868,886,747,870.25/10,968,229.13
  6. Step 6: Final answer
    x = 51,500,463.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.