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Finding the Third Proportional to 374,345,441.16 and 807,880,123.69

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Solution

The third proportional to 374,345,441.16 and 807,880,123.69 is: 1,743,497,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,345,441.16 : 807,880,123.69 = 807,880,123.69 : x
  2. Step 2: Convert to fraction form
    374,345,441.16/807,880,123.69 = 807,880,123.69/x
  3. Step 3: Cross multiply
    374,345,441.16x = 807,880,123.69 × 807,880,123.69
  4. Step 4: Simplify right side
    374,345,441.16x = 652,670,294,249,410,944
  5. Step 5: Solve for x
    x = 652,670,294,249,410,944/374,345,441.16
  6. Step 6: Final answer
    x = 1,743,497,375.67

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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.