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Finding the Third Proportional to 7,794,336 and 12,098,194.50

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Solution

The third proportional to 7,794,336 and 12,098,194.50 is: 18,778,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794,336 : 12,098,194.50 = 12,098,194.50 : x
  2. Step 2: Convert to fraction form
    7,794,336/12,098,194.50 = 12,098,194.50/x
  3. Step 3: Cross multiply
    7,794,336x = 12,098,194.50 × 12,098,194.50
  4. Step 4: Simplify right side
    7,794,336x = 146,366,310,159,830.25
  5. Step 5: Solve for x
    x = 146,366,310,159,830.25/7,794,336
  6. Step 6: Final answer
    x = 18,778,547.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.