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Finding the Third Proportional to 5,711,916 and 12,364,295.50

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Solution

The third proportional to 5,711,916 and 12,364,295.50 is: 26,764,364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711,916 : 12,364,295.50 = 12,364,295.50 : x
  2. Step 2: Convert to fraction form
    5,711,916/12,364,295.50 = 12,364,295.50/x
  3. Step 3: Cross multiply
    5,711,916x = 12,364,295.50 × 12,364,295.50
  4. Step 4: Simplify right side
    5,711,916x = 152,875,803,211,320.25
  5. Step 5: Solve for x
    x = 152,875,803,211,320.25/5,711,916
  6. Step 6: Final answer
    x = 26,764,364.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.