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Finding the Third Proportional to 10,112,095.50 and 22,116,005

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Solution

The third proportional to 10,112,095.50 and 22,116,005 is: 48,369,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112,095.50 : 22,116,005 = 22,116,005 : x
  2. Step 2: Convert to fraction form
    10,112,095.50/22,116,005 = 22,116,005/x
  3. Step 3: Cross multiply
    10,112,095.50x = 22,116,005 × 22,116,005
  4. Step 4: Simplify right side
    10,112,095.50x = 489,117,677,160,025
  5. Step 5: Solve for x
    x = 489,117,677,160,025/10,112,095.50
  6. Step 6: Final answer
    x = 48,369,566.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.