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Finding the Third Proportional to 10,852,048.50 and 23,890,063.50

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Solution

The third proportional to 10,852,048.50 and 23,890,063.50 is: 52,592,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852,048.50 : 23,890,063.50 = 23,890,063.50 : x
  2. Step 2: Convert to fraction form
    10,852,048.50/23,890,063.50 = 23,890,063.50/x
  3. Step 3: Cross multiply
    10,852,048.50x = 23,890,063.50 × 23,890,063.50
  4. Step 4: Simplify right side
    10,852,048.50x = 570,735,134,034,032.25
  5. Step 5: Solve for x
    x = 570,735,134,034,032.25/10,852,048.50
  6. Step 6: Final answer
    x = 52,592,386.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.